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Equivariant minimal model program (Q5153160)

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scientific article; zbMATH DE number 7402603

Language	Label	Description	Also known as
English	Equivariant minimal model program	scientific article; zbMATH DE number 7402603

Statements

scholarly article

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Equivariant minimal model program (English)

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Russian Mathematical Surveys

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publication date

29 September 2021

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zbMATH Keywords

algebraic variety

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automorphism

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minimal model

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Mori cone

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contraction

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birational transformation

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Fano variety

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Cremona group

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rationality

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singularity

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Yuri G. Prokhorov

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describes a project that uses

Graded Ring Database

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MaRDI profile type

MaRDI publication profile

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Equivariant resolution of singularities in characteristic 0

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ON CONJUGACY CLASSES OF THE KLEIN SIMPLE GROUP IN CREMONA GROUP

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Existence of standard models of conic fibrations over non-algebraically-closed fields

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Automorphisms of singular cubic threefolds and the Cremona group

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Automorphisms of threefolds that can be represented as an intersection of two quadrics

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Automorphisms of singular three-dimensional cubic hypersurfaces

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Jordan groups, conic bundles and abelian varieties

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Jordan properties of automorphism groups of certain open algebraic varieties

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Bimeromorphic automorphism groups of certain \(\mathbb{P}^1\)-bundles

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Classification des varietes coplexes projectives de dimension trois dont une section hyperplane générale est une surface d'Enriques.

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Non-rationality of the symmetric sextic Fano threefold

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Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant

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Functoriality in resolution of singularities

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Existence of log canonical flips and a special LMMP

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Existence of flips and minimal models for 3-folds in char $p$

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Singularities of linear systems and boundedness of Fano varieties

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Existence of minimal models for varieties of log general type

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Existence of Mori fibre spaces for 3-folds in char \(p\)

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Linearisation of finite abelian subgroups of the Cremona group of the plane

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Topologies and structures of the Cremona groups

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Quotients of groups of birational transformations of cubic del Pezzo fibrations

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HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES

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Connexité rationnelle des variétés de Fano

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Rational connectedness and order of non-degenerate meromorphic maps from \(\mathbb C^n\)

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Low codimension Fano–Enriques threefolds

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Quartic double solids with icosahedral symmetry

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Three embeddings of the Klein simple group into the Cremona group of rank three

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Five embeddings of one simple group

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Cremona Groups and the Icosahedron

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TWO RATIONAL NODAL QUARTIC 3-FOLDS

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Invariants of Finite Groups Generated by Reflections

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The intermediate Jacobian of the cubic threefold

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Del Pezzo surfaces over Dedekind schemes

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Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings

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Resolution of singularities of threefolds in positive characteristic. II

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Elementary contractions of Gorenstein threefolds

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BIRATIONAL GEOMETRY OF TORIC 3-FOLDS

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Gushel-Mukai varieties: Classification and birationalities

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Sous-groupes algébriques de rang maximum du groupe de Cremona

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On elements of order \(p^s\) in the plane Cremona group over a field of characteristic \(p\)

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Classical Algebraic Geometry

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Automorphisms of cubic surfaces in positive characteristic

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Finite Subgroups of the Plane Cremona Group

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Automorphisms of open surfaces with irreducible boundary

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Fifteen characterizations of rational double points and simple critical points

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Closedness of the Douady spaces of compact Kähler spaces

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Applications of Kawamata's positivity theorem

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Fundamental theorems for the log minimal model program

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On the structure of polarized manifolds with total deficiency one. I

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Families of rationally connected varieties

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Differential forms on log canonical spaces

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The Sarkisov program

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Existence of log canonical closures

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On the three dimensional minimal model program in positive characteristic

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Minimal model program for log canonical threefolds in positive characteristic

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Mori fibre spaces for K\"ahler threefolds

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Minimal models for Kähler threefolds

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The geometry of some special arithmetic quotients

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Introduction to Singularities

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RATIONAL SURFACES WITH A PENCIL OF RATIONAL CURVES

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Anticanonical models of three-dimensional algebraic varieties

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Birational automorphisms of three-dimensional algebraic varieties

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MINIMAL MODELS OF RATIONAL SURFACES OVER ARBITRARY FIELDS

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Factorization of birational maps of rational surfaces from the viewpoint of Mori theory

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Birational models and flips

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Terminal Fano threefolds and their smoothings

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Extremal contractions from 4-dimensional manifolds to 3-folds

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The defect of Fano $3$-folds

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Divisorial contractions in dimension three which contract divisors to smooth points

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General elephants of three-fold divisorial contractions

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Three-fold divisorial contractions to singularities of higher indices

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The cone of curves of algebraic varieties

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Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces

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On the length of an extremal rational curve

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TERMINATION OF LOG FLIPS FOR ALGEBRAIC 3-FOLDS

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3-FOLD LOG FLIPS

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Subadjunction of log canonical divisors for a subvariety of codimension 2

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Flops connect minimal models

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Toward a numerical theory of ampleness

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Polynomials with integral coefficients, equivalent to a given polynomial

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Singularities of Pairs

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Lectures on Resolution of Singularities (AM-166)

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Log canonical singularities are Du Bois

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Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds

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Classification of Three-Dimensional Flips

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Threefolds and deformations of surface singularities

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Birational geometry of del Pezzo fibrations with terminal quotient singularities

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Prime Fano threefolds of genus 12 with a $G_m$-action

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Hilbert schemes of lines and conics and automorphism groups of Fano threefolds

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Finite 3-subgroups in the Cremona group of rank 3

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Varieties fibered by good minimal models

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Rational singularities, with applications to algebraic surfaces and unique factorization

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Standard models of degree $1$ del Pezzo fibrations

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Rational surfaces over perfect fields

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RATIONAL SURFACES OVER PERFECT FIELDS. II

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Introduction to the Mori program

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Singular Points of Complex Hypersurfaces. (AM-61)

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A numerical criterion for uniruledness

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Threefolds whose canonical bundles are not numerically effective

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On 3-dimensional terminal singularities

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Flip Theorem and the Existence of Minimal Models for 3-Folds

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Classification of Fano 3-folds with \(B_ 2 \geq 2\)

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On \(\mathbb Q\)-conic bundles

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On \(\mathbb Q\)-conic bundles. II

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On \(\mathbb Q\)-conic bundles. III.

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Multiple fibers of del Pezzo fibrations

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Threefold extremal contractions of type (IA)

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3-Fold Extremal Contractions of Types (IC) and (IIB)

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Threefold extremal contractions of type (IIA). I

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Threefold extremal curve germs with one non-Gorenstein point

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General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case

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Terminal Quotient Singularities in Dimensions Three and Four

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Finite groups of automorphisms of K3 surfaces and the Mathieu group

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Projective threefolds on which $\mathbf {SL}(2)$ acts with 2-dimensional general orbits

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The singularity of the canonical model of compact Kähler manifolds

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Nonrational del Pezzo fibrations admitting an action of the Klein simple group

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A family of categories of log terminal pairs and automorphisms of surfaces

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On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties

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Three plots about the Cremona groups

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On the existence of complements of the canonical divisor for Mori conic bundles

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\(\mathbb Q\)-Fano threefolds of large Fano index. I.

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p-elementary subgroups of the Cremona group of rank 3

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Simple finite subgroups of the Cremona group of rank 3

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G-Fano threefolds, I

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G-Fano threefolds, II

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2-Elementary Subgroups of the Space Cremona Group

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On $ G$-Fano threefolds

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Singular Fano threefolds of genus 12

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On the number of singular points of terminal factorial Fano threefolds

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The rationality problem for conic bundles

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Jordan property for groups of birational selfmaps

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Jordan property for Cremona groups

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Jordan constant for Cremona group of rank 3

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Finite groups of birational selfmaps of threefolds

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‐subgroups in the space Cremona group

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Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds

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Automorphism groups of Inoue and Kodaira surfaces

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Automorphism Groups of Compact Complex Surfaces

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Fano threefolds with infinite automorphism groups

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Nonnormal del Pezzo surfaces

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Some Basic Theorems on Algebraic Groups

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Projective Models of K - 3 Surfaces

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Classification of non-Gorenstein <b>Q</b>-Fano <i>d</i>-folds of Fano index greater than <i>d</i> − 2

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ON CONIC BUNDLE STRUCTURES

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Vector Bundles on the Projective Plane

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A Minkowski-style bound for the order of the finite subgroups of the Cremona group of rank 2 over an arbitrary field

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Finite Unitary Reflection Groups

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3-dimensional Fano varieties with canonical singularities

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THE NONVANISHING THEOREM

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3-fold log models

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Letters of a bi-rationalist. VII: Ordered termination

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Equivariant completion

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On Fano indices of \(\mathbb Q\)-Fano 3-folds

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Equations of<i>G</i>-minimal conic bundles

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Terminal 3-fold Divisorial Contractions of a Surface to a Curve I

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Three dimensional divisorial extremal neighborhoods

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THREE-FOLD DIVISORIAL EXTREMAL NEIGHBORHOODS OVER cE<sub>7</sub> AND c<sub>6</sub> COMPOUND DUVAL SINGULARITIES

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Sur les sous-groupes algebriques primitifs du groupe de cremona a trois variables

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Maximal algebraic subgroups of the Cremona group of three variables—Imprimitive algebraic subgroups of exceptional type

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On the maximal connected algebraic subgroups of the Cremona group I

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Minimal rational threefolds II

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Kähler spaces and proper open morphisms

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THE LMMP FOR LOG CANONICAL 3-FOLDS IN CHARACTERISTIC

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On Algebraic Groups of Transformations

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Finiteness of algebraic fundamental groups

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Theta Groups and Products of Abelian and Rational Varieties

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Complex tori, theta groups and their Jordan properties

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full work available at URL

https://doi.org/10.1070/rm9990

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zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5153160

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