On the rationality of Kawamata log terminal singularities in positive characteristic
Abstract
We show that there exists a natural number $p_0$ such that any three-dimensional Kawamata log terminal singularity defined over an algebraically closed field of characteristic $p>p_0$ is rational and in particular Cohen-Macaulay.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2017
- DOI:
- 10.48550/arXiv.1706.03204
- arXiv:
- arXiv:1706.03204
- Bibcode:
- 2017arXiv170603204H
- Keywords:
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- Mathematics - Algebraic Geometry;
- 14E30;
- 14J17;
- 13A35
- E-Print:
- An example, by Takehiko Yasuda, of a non-Cohen-Macaulay quotient klt singularity for any p>