On $ G$-Fano threefolds

DOI10.1070/IM2015v079n04ABEH002761zbMath1331.14019arXiv1506.07873OpenAlexW1945876141MaRDI QIDQ3449047

Yuri G. Prokhorov

Publication date: 3 November 2015

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07873

zbMATH Keywords

linear systemdivisorFano varietybirational mapterminal singularity

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) (3)-folds (14J30) Rational and birational maps (14E05) Fano varieties (14J45)

Related Items

Quasi-simple finite groups of essential dimension 3 ⋮ Subgroups of odd order in the real plane Cremona group ⋮ Automorphisms of real del Pezzo surfaces and the real plane Cremona group ⋮ The rationality problem for conic bundles ⋮ Toric G-Fano threefolds ⋮ The Jordan property for Lie groups and automorphism groups of complex spaces ⋮ On linear sections of the spinor tenfold. I ⋮ Rationality of Fano threefolds with terminal Gorenstein singularities. I ⋮ Rationality of Fano threefolds with terminal Gorenstein singularities. II ⋮ Birational rigidity of $G$-del Pezzo threefolds of degree $2$ ⋮ Embeddings of the symmetric groups to the space Cremona group ⋮ On \(G\)-rigid surfaces ⋮ Compressible finite groups of birational automorphisms ⋮ Equivariant minimal model program ⋮ \(\mathbb{Q}\)-Fano threefolds of index 7 ⋮ Double quadrics with large automorphism groups ⋮ Automorphisms of singular three-dimensional cubic hypersurfaces ⋮ Fano-Mukai fourfolds of genus 10 as compactifications of \(\mathbb{C}^4\) ⋮ \(p\)-subgroups in automorphism groups of real del Pezzo surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Terminal Fano threefolds and their smoothings
• Inversion of adjunction on log canonicity
• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• Elementary contractions of Gorenstein threefolds
• Simple finite subgroups of the Cremona group of rank 3
• p-elementary subgroups of the Cremona group of rank 3
• The defect of Fano $3$-folds
• Gorenstein Fano threefolds with base points in the anticanonical system