Flexibility of affine cones over del Pezzo surfaces of degree 4 and 5

DOI10.1007/s10688-013-0035-7zbMath1312.14099arXiv1108.5841OpenAlexW2136782080MaRDI QIDQ482573

Alexander Perepechko

Publication date: 5 January 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5841

zbMATH Keywords

automorphism groupdel Pezzo surfaceflexibilityaffine coneinfinite transitivityone-parameter unipotent group

Mathematics Subject Classification ID

Fano varieties (14J45) Group actions on affine varieties (14R20) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (15)

Automorphisms of algebraic varieties and infinite transitivity ⋮ Affine cones over cubic surfaces are flexible in codimension one ⋮ Generic flexibility of affine cones over del Pezzo surfaces of degree 2 ⋮ Recent developments on Oka manifolds ⋮ Affine Cones over Fano–Mukai Fourfolds of Genus 10 are Flexible ⋮ Cylinders in Fano varieties ⋮ Cylinders in rational surfaces ⋮ Infinite transitivity, finite generation, and Demazure roots ⋮ Unnamed Item ⋮ Affine cones over smooth cubic surfaces ⋮ Flexible affine cones and flexible coverings ⋮ Automorphisms of nonnormal toric varieties ⋮ Infinite transitivity on universal torsors ⋮ Notes on cylinders in smooth projective surfaces ⋮ Flexible affine cones over del Pezzo surfaces of degree 4

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Affine cones over smooth cubic surfaces
• Flexible varieties and automorphism groups
• Classical Algebraic Geometry
• Group actions on affine cones
• Flag varieties, toric varieties, and suspensions: Three instances of infinite transitivity
• Unipotent group actions on del Pezzo cones

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