Simple finite subgroups of the Cremona group of rank 3

DOI10.1090/S1056-3911-2011-00586-9zbMath1257.14011arXiv0908.0678OpenAlexW2027323221MaRDI QIDQ2894545

Yuri G. Prokhorov

Publication date: 29 June 2012

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0678

zbMATH Keywords

birational automorphismCremona groupsimple finite group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Birational automorphisms, Cremona group and generalizations (14E07)

Related Items

Quasi-simple finite groups of essential dimension 3, Birationally rigid Fano threefold hypersurfaces, Automorphism groups of smooth cubic threefolds, Finite quasisimple groups acting on rationally connected threefolds, Subgroups of odd order in the real plane Cremona group, On $ G$-Fano threefolds, Essential dimension: a survey, Automorphisms of real del Pezzo surfaces and the real plane Cremona group, Toric G-Fano threefolds, On the number of singular points of terminal factorial Fano threefolds, On birational involutions of $ \mathbb P^3$, A note on 3-subgroups in the space Cremona group, Rationality of an \(S_6\)-invariant quartic 3-fold, 2-Elementary Subgroups of the Space Cremona Group, Finite Simple Groups of Small Essential Dimension, Modular functions and resolvent problems (with an appendix by Nate Harman), Essential dimension, Finite groups of birational transformations, Toric \(G\)-solid Fano threefolds, Some properties of the group of birational maps generated by the automorphisms of \(\mathbb P^n_{\mathbb C}\) and the standard involution, Birational rigidity of $G$-del Pezzo threefolds of degree $2$, Embeddings of the symmetric groups to the space Cremona group, Sofic profile and computability of Cremona groups, ON CONJUGACY CLASSES OF THE KLEIN SIMPLE GROUP IN CREMONA GROUP, Five embeddings of one simple group, Equivariant minimal model program, Hilbert schemes of lines and conics and automorphism groups of Fano threefolds, About the Fricke-Macbeath curve, Double quadrics with large automorphism groups, Automorphisms of singular three-dimensional cubic hypersurfaces, Log del Pezzo Surfaces with Simple Automorphism Groups, Finite collineation groups and birational rigidity, The Jordan property of Cremona groups and essential dimension, From Hilbert's 13th problem to essential dimension and back, Cohomological support loci of varieties of Albanese fiber dimension one, On toric geometry and K-stability of Fano varieties, Versality of algebraic group actions and rational points on twisted varieties, Quartic double solids with icosahedral symmetry, Nonrational del Pezzo fibrations admitting an action of the Klein simple group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inversion of adjunction on log canonicity
• Finite groups of automorphisms of K3 surfaces and the Mathieu group
• 3-dimensional Fano varieties with canonical singularities
• Classification of Fano 3-folds with \(B_ 2 \geq 2\)
• Curves and symmetric spaces
• Birational automorphisms of multidimensional algebraic manifolds
• Equivariant resolution of singularities in characteristic 0
• Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds
• Elementary contractions of Gorenstein threefolds
• Multiple fibers of del Pezzo fibrations
• Über endliche lineare Gruppen von Primzahlgrad. (On finite linear groups of prime number degree)
• Fano varieties of genus 8
• The defect of Fano $3$-folds
• Rational connectedness of log Q-Fano varieties
• A Minkowski-style bound for the order of the finite subgroups of the Cremona group of rank 2 over an arbitrary field
• Flip Theorem and the Existence of Minimal Models for 3-Folds
• 3-FOLD LOG FLIPS
• On the Automorphism Group of a Certain Cubic Threefold
• Subadjunction of log canonical divisors for a subvariety of codimension 2
• Elliptic curves and rank-2 vector bundles on the prime Fano threefold of genus 7
• Curves and Symmetric Spaces, I
• Finite Subgroups of the Plane Cremona Group
• Gorenstein Fano threefolds with base points in the anticanonical system
• On a Curve of Genus 7
• Finite Linear Groups of Degree Six
• THREE-DIMENSIONAL QUARTICS AND COUNTEREXAMPLES TO THE LÜROTH PROBLEM
• Hyperelliptic and trigonal Fano threefolds
• Finite Unitary Reflection Groups
• Moduli of abelian varieties