Back to Commutative Algebra Seminar: Fall 2022
Commutative Algebra Seminar
Date: Friday, Sep 16, 2022
Time: 2:00PM - 3:00PM
Location: LCB 222
Seungsu Lee
University of Utah
Title |
On the behavior of F-signature on the Nef cone |
Abstract |
F-signature plays a crucial role when measuring singularities of varieties in positive characteristics. For example, if R is a local ring, s(R) = 1 implies R is regular, and 0 < s(R) < 1 implies R is strongly F-regular which is a char p analog of klt singularities. For a globally F-regular variety X, the F-signature of an ample invertible sheaf is defined as the F-signature of the section along the invertible sheaf over X. In this talk, we will discuss the F-signature is well-defined and is (locally Lipschitz) continuous on the ample cone, and how the signature extends to the boundary of the cone. This is joint work with Swaraj Pande. |
Commutative Algebra