Work

Measuring birational derived splinters

Year: 2026

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70362

Authors: Timothy De Deyn, Pat Lank, Kabeer Manali Rahul, Sridhar Venkatesh

Institutions: Max Planck Institute for Mathematics, University of Milan, University of California, Los Angeles

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Basque Center for Applied Mathematics, H2020 European Research Council