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arXiv · 2006.16417

Affine cones over cubic surfaces are flexible in codimension one

Alexander Perepechko
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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.

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Alexander Perepechko. 2020-06-29. Affine cones over cubic surfaces are flexible in codimension one. https://doi.org/10.1515/forum-2020-0191

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