Measuring birational derived splinters
Published: Oct 30, 2025
Last Updated: Oct 30, 2025
Authors:Timothy De Deyn, Pat Lank, Kabeer Manali-Rahul, Sridhar Venkatesh
Abstract
This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called `level' in the associated derived category measures the failure of these singularities.