Equivariant pliability of the projective space

DOI10.1007/s00029-023-00869-4arXiv2202.09319OpenAlexW4386935538MaRDI QIDQ6093267

I. A. Chel'tsov, Arman Sarikyan

Publication date: 6 October 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.09319

zbMATH Keywords

birational rigidityequivariant birational geometry\(G\)-Mori fibre space

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) (3)-folds (14J30) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Rationality questions in algebraic geometry (14E08)

Related Items

Invariant smooth quartic surfaces by all finite primitive subgroups of \(\mathrm{PGL}_4 (\mathbb{C})\)

Cites Work

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• Three embeddings of the Klein simple group into the Cremona group of rank three
• Affine cones over smooth cubic surfaces
• Locally nilpotent derivations on affine surfaces with a \(\mathbb C^*\)-action.
• Automorphism groups of compact Riemann surfaces of genera three and four
• Automorphism groups of compact Riemann surfaces of genus five
• Log canonical thresholds of del Pezzo surfaces
• On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
• Classification on non-normal quartic surfaces
• Birational automorphisms of three-dimensional algebraic varieties
• On normal projective surfaces with trivial dualizing sheaf
• Birational automorphisms of Fano hypersurfaces
• The finite irreducible monomial linear groups of degree \(4\)
• The singular \(H_{2,2}\)-invariant quartic surfaces in \(\mathbb{P}_ 3\)
• Galois covers between \(K3\) surfaces
• Curves on Heisenberg invariant quartic surfaces in projective 3-space
• Finite collineation groups and birational rigidity
• Symbols and equivariant birational geometry in small dimensions
• \(G\)-birational rigidity of the projective plane
• Equivariant Burnside groups and representation theory
• Toric \(G\)-solid Fano threefolds
• Equivariant birational geometry and modular symbols
• Finite symplectic actions on the K3 lattice
• Classical Algebraic Geometry
• Symmetry and Pattern in Projective Geometry
• Log canonical thresholds of smooth Fano threefolds
• Birational automorphisms of algebraic threefolds with a pencil of Del Pezzo surfaces
• (16,6) configurations and geometry of Kummer surfaces in 𝑃³
• Classification des varietes coplexes projectives de dimension trois dont une section hyperplane générale est une surface d'Enriques.
• Birationally rigid Pfaffian Fano 3-folds
• Birational geometry of terminal quartic 3-folds, I
• Finite Subgroups of the Plane Cremona Group
• The Picard group of various families of $(\mathbb {Z}/2\mathbb {Z})^{4}$-invariant quartic K3 surfaces
• Equivariant birational types and Burnside volume
• Del Pezzo surfaces with infinite automorphism groups
• Cremona Groups and the Icosahedron
• Five embeddings of one simple group