Measuring rationality of Schwede--Takagi pairs
Algebraic Geometry
2026-04-23 v5 Commutative Algebra
Abstract
We begin by giving a derived characterization of rational singularities for pairs in the sense of Schwede--Takagi. This characterization extends a characterization of rational singularities due to Lank--Venkatesh to pairs on normal varieties over fields of characteristic zero. As an application, we introduce a categorical invariant that measures the failure of rationality for pairs on affine varieties that are locally complete intersections.
Cite
@article{arxiv.2501.02783,
title = {Measuring rationality of Schwede--Takagi pairs},
author = {Pat Lank and Peter McDonald and Sridhar Venkatesh},
journal= {arXiv preprint arXiv:2501.02783},
year = {2026}
}
Comments
to appear J. Pure Appl. Algebra; appendix for Koll\'ar--Kov\'acs pairs added