Tautological systems and local cohomology

Paul Görlach; Thomas Reichelt; Christian Sevenheck; Uli Walther

Tautological systems and local cohomology

Algebraic Geometry 2026-07-16 v1

Authors: Paul Görlach , Thomas Reichelt , Christian Sevenheck , Uli Walther

Abstract

We discuss the connections between tautological systems and the local cohomology of cones over homogeneous spaces. We study a derived version of tautological systems, related to the Chevalley--Eilenberg complex, and show that in many cases it underlies a complex of mixed Hodge modules.

Keywords

tautological systems local cohomology homogeneous spaces Chevalley-Eilenberg complex mixed Hodge modules derived categories

Cite

@article{arxiv.2607.14602,
  title  = {Tautological systems and local cohomology},
  author = {Paul Görlach and Thomas Reichelt and Christian Sevenheck and Uli Walther},
  journal= {arXiv preprint arXiv:2607.14602},
  year   = {2026}
}