Measuring birational derived splinters
Algebraic Geometry
2026-05-27 v2 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.2510.26648,
title = {Measuring birational derived splinters},
author = {Timothy De Deyn and Pat Lank and Kabeer Manali-Rahul and Sridhar Venkatesh},
journal= {arXiv preprint arXiv:2510.26648},
year = {2026}
}
Comments
Final version to appear in Bull. Lond. Math. Soc