Austin Simpson : Hilbert-Kunz Multiplicity of Fibers and Bertini Theorems

Posted by Kevin Tucker , part of the Commutative Algebra Seminar.

At

Nov. 20, 2019, 4 p.m.

In

1227 SEO

Abstract

I discuss joint work with Rankeya Datta which shows that the Hilbert-Kunz multiplicity, a prime characteristic numerical invariant that detects regularity, does not increase upon taking general hyperplane sections of an equidimensional quasi-projective variety.