Measuring rationality of Schwede–Takagi pairs
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.
Authors
- Peter M. McDonald (ORCID: https://orcid.org/0009-0004-5368-9021)
- Sridhar Venkatesh (ORCID: https://orcid.org/0000-0003-3186-1236)
- Pat Lank (ORCID: https://orcid.org/0000-0002-2367-2892)
Institutions
- University of California, Los Angeles (US)
- Simon Fraser University (CA)
- University of Milan (IT)
Publication Details
- Journal
- Journal of Pure and Applied Algebra
- Published
- 2026-04-27
- DOI
- https://doi.org/10.1016/j.jpaa.2026.108268
- Primary Topic
- Quantum Mechanics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Simons Foundation