scientific article; zbMATH DE number 6863801

zbMath1397.14016MaRDI QIDQ4636221

Brian Lehmann

Publication date: 23 April 2018

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

birational geometry flips abundance conjecture canonical model minimal model Pprogram

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20)

Cites Work

Poles of maximal order of motivic zeta functions
\(\mathbb A^1\)-connected varieties of rank one over nonclosed fields
Numerical analogues of the Kodaira dimension and the abundance conjecture
The dual complex of Calabi-Yau pairs
Boundary complexes and weight filtrations
Derived categories of toric varieties. II.
Extension theorems, non-vanishing and the existence of good minimal models
Uniruledness of stable base loci of adjoint linear systems via Mori theory
Comparing numerical dimensions
Stability conditions and extremal contractions
On the number of minimal models of a log smooth threefold
Numerical character of the effectivity of adjoint line bundles
On existence of log minimal models and weak Zariski decompositions
The cone conjecture for some rational elliptic threefolds
Reflexive differential forms on singular spaces. Geometry and cohomology
MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations
Varieties fibred over abelian varieties with fibres of log general type
On the moduli b-divisors of lc-trivial fibrations
Log rationally connected surfaces
Explicit birational geometry of 3-folds of general type. II
On the Kodaira dimension of minimal threefolds
Zariski decomposition and canonical rings of elliptic threefolds
Finite generation of the log canonical ring in dimension four
Some remarks on the divisorial Zariski decomposition on varieties whose first Chern class is zero
Varieties fibered by good minimal models
Kodaira dimension of irregular varieties
Extension of sections via adjoint ideals
Relative critical exponents, non-vanishing and metrics with minimal singularities
A transcendental approach to Kollár's injectivity theorem
Existence of log canonical flips and a special LMMP
Differential forms on log canonical spaces
Nef dimension of minimal models
New outlook on the minimal model program. I.
ACC for log canonical thresholds
An approach to the abundance conjecture for 3-folds
On extremal rays of the higher dimensional varieties
Periods of Enriques surfaces
Sur l'anneau canonique de certaines variétés de dimension 3
Elementary contractions of algebraic 3-folds
The cone of curves of algebraic varieties
Finiteness results for algebraic K3 surfaces
The cone of pseudo-effective divisors of log varieties after Batyrev
Ascending chain condition for log canonical thresholds and termination of log flips
Inversion of adjunction on log canonicity
Termination of (many) 4-dimensional log flips
Flops connect minimal models
Bergman kernels and the pseudoeffectivity of relative canonical bundles
Derived categories of toric varieties
Shokurov's ACC conjecture for log canonical thresholds on smooth varieties
Log minimal models according to Shokurov
The cone conjecture for Calabi-Yau pairs in dimension 2
Effectiveness of the log Iitaka fibration for 3-folds and 4-folds
Pluricanonical systems on minimal algebraic varieties
The number of the minimal models for a 3-fold of general type is finite
Higher direct images of dualizing sheaves. I
Higher direct images of dualizing sheaves. II
A numerical criterion for uniruledness
Projective manifolds with ample tangent bundles
Kodaira dimension of algebraic fiber spaces over curves
On the length of an extremal rational curve
Rational connectedness and boundedness of Fano manifolds
Abundance theorem for minimal threefolds
The sheaf of relative canonical forms of a Kähler fiber space over a curve
Invariance of plurigenera
Automorphisms and the Kähler cone of certain Calabi-Yau manifolds
Approximating Zariski decomposition of big line bundles
Log abundance theorem for threefolds
Abundance theorem for semi log canonical threefolds
Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds
Flops and derived categories.
A canonical bundle formula
Calabi-Yau threefolds with infinitely many divisorial contractions
Balanced line bundles on Fano varieties
3-fold log models
Zariski-decomposition and abundance
Effective freeness and point separation for adjoint bundles
On canonical bundle formulas and subadjunctions
The minimal model program for the Hilbert scheme of points on \(\mathbb P^2\) and Bridgeland stability
Existence of log canonical closures
On the birational automorphisms of varieties of general type
On the tetracanonical map of varieties of general type and maximal Albanese dimension
Letters of a bi-rationalist. VII: Ordered termination
On Shokurov's rational connectedness conjecture
Siu's invariance of plurigenera: a one-tower proof
Invariance for multiples of the twisted canonical bundle
On the pluricanonical maps of varieties of intermediate Kodaira dimension
New outlook on the minimal model program. II
Curvature of vector bundles associated to holomorphic fibrations
On the minimal model theory for DLT pairs of numerical log Kodaira dimension zero
On maximal Albanese dimensional varieties
Singular derived categories of \(\mathbb{Q}\)-factorial terminalizations and maximal modification algebras
On the uniruledness of stable base loci
Pluricanonical systems on algebraic varieties of general type
Boundedness of pluricanonical maps of varieties of general type
On the cone conjecture for Calabi-Yau manifolds with Picard number two
Toward a numerical theory of ampleness
On termination of 4-fold semi-stable log flips
On termination of log flips in dimension four
Classification of higher dimensional algebraic varieties
Some remarks on the minimal model program for log canonical pairs
On the Chern numbers of surfaces of general type
Introduction to the Mori program
Mori dream spaces and GIT.
On the finiteness of fiber-space structures on a Calabi-Yau 3-fold
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Rational Curves on Foliated Varieties
Abundance theorem for numerically trivial log canonical divisors of semi-log canonical pairs
A transcendental approach to Kollár's injectivity theorem II
Relations in the Sarkisov program
Log pluricanonical representations and the abundance conjecture
Quantitative extensions of pluricanonical forms and closed positive currents
Strong rational connectedness of surfaces
A cone theorem for nef curves
A survey of test ideals
Automorphism groups of Calabi-Yau manifolds of Picard number 2
Fundamental groups of links of isolated singularities
The third and fourth pluricanonical maps of threefolds of general type
Fano Manifolds of Index n−1 and the Cone Conjecture
Stability conditions and birational geometry of projective surfaces
Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups
Birational Automorphism Groups of Projective Varieties of Picard Number Two
Alternate Compactifications of Moduli Spaces of Curves
The essential skeleton of a degeneration of algebraic varieties
Exercises in the birational geometry of algebraic varieties
Special orbifolds and birational classification: a survey
Log canonical thresholds on varieties with bounded singularities
On existence of log minimal models II
A survey of Torelli and monodromy results for holomorphic-symplectic varieties
Pluricanonical systems for 3-folds and 4-folds of general type
The cone conjecture for abelian varieties
Non-vanishing theorem for log canonical pairs
Very free curves on Fano complete intersections
On desingularized Horrocks-Mumford quintics.
On the invariance and the lower semi-continuity of plurigenera of algebraic varieties
Rationally connected foliations after Bogomolov and McQuillan
Balanced Line Bundles and Equivariant Compactifications of Homogeneous Spaces
A Proof of the Kawamata–Morrison Cone Conjecture for Holomorphic Symplectic Varieties ofK3^[nor Generalized Kummer Deformation Type]
Hilbert’s 14th problem over finite fields and a conjecture on the cone of curves
Explicit birational geometry of threefolds of general type, I
On existence of log minimal models
Existence of minimal models for varieties of log general type
Existence of minimal models for varieties of log general type II
Log canonical singularities are Du Bois
The Iitaka conjecture C_n,m in dimension six
On the Finiteness of Generators of a Pluri-Canonical Ring for a 3-Fold of General Type
On 3-dimensional terminal singularities
Minimal models and the Kodaira dimension of algebraic fiber spaces.
Sur Les Applications Pluricanoniques Des Varietes de Type Tres General en Dimension 3
Flops
Flip Theorem and the Existence of Minimal Models for 3-Folds
Termination of Flops for 4-Folds
Extremal rays on smooth threefolds
Subadjunction of log canonical divisors, II
Tamagawa numbers of polarized algebraic varieties
Rational curves on quasi-projective surfaces
On Contractions of smooth varieties
BOUNDEDNESS AND K² FOR LOG SURFACES
Log Sarkisov Program
Subadjunction of log canonical divisors for a subvariety of codimension 2
On the Cone of Divisors of Calabi–Yau Fiber Spaces
Some Finiteness Results for Calabi-Yau Threefolds
On the birational geometry of varieties of maximal Albanese dimension
Morrison-Kawamata cone conjecture for hyperkahler manifolds
Abundance for varieties with many differential forms
The dual complex of singularities
The moduli b-divisor of an lc-trivial fibration
TERMINATION OF LOG FLIPS FOR ALGEBRAIC 3-FOLDS
Algebraic fiber spaces whose general fibers are of maximal Albanese dimension
On the abundance theorem in the case of numerical Kodaira dimension zero
Reduction maps and minimal model theory
Introduction
The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
The Sarkisov program
Some constraints on positive entropy automorphisms of smooth threefolds
On the three dimensional minimal model program in positive characteristic
On the Iitaka Fibration of Varieties of Maximal Albanese Dimension
ON THE BASE-POINT-FREE THEOREM OF 3-FOLDS IN POSITIVE CHARACTERISTIC
The Sarkisov program for Mori fibred Calabi-Yau pairs
Connexité rationnelle des variétés de Fano
A Takayama-type extension theorem
On the Log Canonical Inversion of Adjunction
Simple normal crossing varieties with prescribed dual complex
Links of complex analytic singularities
Birational Geometry of Foliations
Threefolds whose canonical bundles are not numerically effective
Invariance of the plurigenera of algebraic varieties under minimal model conjectures