Affine cones over cubic surfaces are flexible in codimension one
Algebraic Geometry
2024-04-18 v2
Abstract
Let Y be a smooth del Pezzo surface of degree 3 polarized by a very ample divisor that is not proportional to the anticanonical one. Then the affine cone over Y is flexible in codimension one. Equivalently, such a cone has an open subset with an infinitely transitive action of the special automorphism group on it.
Cite
@article{arxiv.2006.16417,
title = {Affine cones over cubic surfaces are flexible in codimension one},
author = {Alexander Perepechko},
journal= {arXiv preprint arXiv:2006.16417},
year = {2024}
}
Comments
11 pages; added an example of a flexible cone