Non-Cohen-Macaulay canonical singularities

Published 6 Mar 2017 in math.AG | (1703.02080v3)

Abstract: The purpose of this note is to show that in characteristic two there exists a smooth Fano variety for which the square of the anti-canonical bundle violates Kodaira vanishing. This is used in turn to construct non-Cohen-Macaulay canonical singularities in characteristic two.

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Sándor J. Kovács

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