On the rationality of Kawamata log terminal singularities in positive characteristic

By Christopher D. Hacon, J. Witaszek. Algebraic Geometry, 2017

48 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4ebf8292d97abe7015b96287b880ab614afbd996

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In Algebra and Number Theory

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Citations in the corpus

• The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay (2017, background): “Yasuda had earlier constructed quotient singularities of any characteristic p > 0 which are canonical but not Cohen-Macaulay [25, Proposition 6.9], [9, Remark 5.3].”