Purely Log Terminal Threefolds with Non-Normal Centres in Characteristic Two

By Paolo Cascini, Hiromu Tanaka. American Journal of Mathematics, 2016

56 citations recorded by the source corpus.

abstract:We show that many classical results of the minimal model program do not hold over an algebraically closed field of characteristic two. Indeed, we construct a three dimensional plt pair whose codimension one part is not normal, a three dimensional klt singularity which is not rational nor Cohen-Macaulay, and a klt Fano threefold with non-trivial intermediate cohomology.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ac3e9f53f56b63afa891ec605dd7df2c3ce1d345

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. J. Witaszek
2. Christopher D. Hacon
3. C. Birkar
4. Chi Li
5. J. McKernan
6. Mihnea Cristian Popa
7. C. Schnell
8. Hiromu Tanaka

In Mathematical Physics

1. Christopher D. Hacon
2. J. Witaszek
3. C. Birkar
4. J. McKernan
5. O. Fujino
6. Chenyang Xu
7. J. Kollár

Citations in the corpus

• On the rationality of Kawamata log terminal singularities in positive characteristic (2017, background): “ rational. In dimension two, this is known to hold for all characteristics, however recently, it was shown that this does not hold when p= 2 and the dimension is at least three [GNT16], [Kov17a], and [CT16] (see Remark 5.3). On the positive side, it is known that klt threefold singularities are Witt”