Non-Cohen-Macaulay canonical singularities
Algebraic Geometry
2019-04-08 v3
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.
Cite
@article{arxiv.1703.02080,
title = {Non-Cohen-Macaulay canonical singularities},
author = {Sándor J. Kovács},
journal= {arXiv preprint arXiv:1703.02080},
year = {2019}
}
Comments
added references to related work done recently