Affine cones over cubic surfaces are flexible in codimension one

Published 29 Jun 2020 in math.AG | (2006.16417v2)

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

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