Measuring birational derived splinters

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.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2026-04-17
DOI
https://doi.org/10.1112/blms.70362
Citations
1
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
62.94

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article

Measuring birational derived splinters

Timothy De Deyn, Pat Lank, Kabeer Manali Rahul, Sridhar Venkatesh
1 citations
Bulletin of the London Mathematical Society
Algebraic Geometry and Number Theory
62.94
article

Measuring birational derived splinters

Timothy De Deyn, Pat Lank, Kabeer Manali Rahul, Sridhar Venkatesh
article en
1 citations

Abstract

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.

Bulletin of the London Mathematical SocietyVol. 58(5)
University of California, Los Angeles (US), University of Milan (IT), Max Planck Institute for Mathematics (DE)
Basque Center for Applied Mathematics
Reduced inequalities
Openalex Percentile: Top 0%
Algebraic Geometry and Number Theory
62.94
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