Back to Commutative Algebra Seminar: Fall 2019
Commutative Algebra Seminar
Date: Friday, Dec 6, 2019
Time: 2:30PM - 3:20PM
Location: LCB 225
Austyn Simpson
University of Illinois, Chicago
Title |
Hilbert-Kunz multiplicity of fibers and Bertini theorems |
Abstract |
The Hilbert-Kunz multiplicity is a prime characteristic numerical invariant that detects regularity. In this talk, I discuss a type of Bertini theorem for equidimensional (quasi)projective schemes which says that the measure of singularity given by Hilbert-Kunz does not get worse upon taking general hyperplane sections. The key technical tool is a uniform convergence result for multiplicities in families which is of independent algebraic interest. This is joint work with Rankeya Datta. |
Commutative Algebra