Non-normal purely log terminal centres in characteristic $p\ge 3$

Abstract

In this note we show, building on a recent work of Totaro, that for every prime number $p\ge 3$ there exists a purely log terminal pair $(Z,S)$ of dimension $2p+2$ whose plt centre $S$ is not normal.

arXiv comment7 pages, comments are welcome!

References in corpus (5)

• Minimal model program for log canonical threefolds in positive characteristic
• On the rationality of Kawamata log terminal singularities in positive characteristic
• Rational points on log Fano threefolds over a finite field
• Non-liftable Calabi-Yau varieties in characteristic $p\ge 5$
• Discrepancies of $p$-cyclic quotient varieties