Benjamin Mudrak

Purdue University

Linkage and the Watanabe–Yoshida conjecture

The Watanabe-Yoshida conjecture posits that the Hilbert-Kunz multiplicity of any singularity is bounded below by that of the A1 singularity of the same dimension. While this has been verified in some cases, the general result remains open. Using a structure theorem by Huneke and Ulrich, we settle the conjecture for licci ideals. Our method of proof opens the door to approaching the conjecture through linkage and essential deformation.

Joint work with Joel Castillo-Rey.