Flexible affine cones over del Pezzo surfaces of degree 4

DOI10.1007/s40879-015-0054-4zbMath1371.14040OpenAlexW891428316MaRDI QIDQ253173

Jihun Park, Joonyeong Won

Publication date: 8 March 2016

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-015-0054-4

zbMATH Keywords

del Pezzo surfacecylinderample divisoraffine coneflexible varietyinfinitely transitive action

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Group actions on affine varieties (14R20) Affine fibrations (14R25)

Related Items (11)

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 ⋮ Unnamed Item ⋮ Flexible affine cones and flexible coverings

Cites Work

• Flexibility of affine cones over del Pezzo surfaces of degree 4 and 5
• Affine cones over smooth cubic surfaces
• Affine modifications and affine hypersurfaces with a very transitive automorphism group
• Flexible varieties and automorphism groups
• \(\mathbb G_{\text a}\)-actions on affine cones
• Infinite Transitivity on Affine Varieties
• Unirationality and Existence of Infinitely Transitive Models
• Classical Algebraic Geometry
• Cylinders in singular del Pezzo surfaces
• Flag varieties, toric varieties, and suspensions: Three instances of infinite transitivity
• Unipotent group actions on del Pezzo cones

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