Non-Cohen-Macaulay canonical singularities
classification
🧮 math.AG
keywords
canonicalcharacteristicnon-cohen-macaulaysingularitiesanti-canonicalbundleconstructexists
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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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