From the 1 of 5 linked papers with an AI index.
5 papers
Tautological systems and local cohomology
Paul Görlach, Thomas Reichelt, Christian Sevenheck +1
The paper investigates how tautological systems relate to the local cohomology of cones over homogeneous spaces, introduces a derived version linked to the Chevalley–Eilenberg comp…
Tautological systems, homogeneous spaces and the holonomic rank problem
Paul Görlach, Thomas Reichelt, Christian Sevenheck +2
Many hypergeometric differential systems that arise from a geometric setting can be endowed with the structure of mixed Hodge modules. We generalize this fundamental result to the…
Hypergeometric systems from groups with torsion
Thomas Reichelt, Christian Sevenheck, Uli Walther
We consider -hypergeometric (or GKZ-)systems in the case where the grading (character) group is an arbitrary finitely generated Abelian group. Emulating the approach taken for c…
Irregular Hodge numbers of Frenkel--Gross connections
Yichen Qin, Christian Sevenheck, Peter Spacek
Frenkel and Gross constructed a family of connections on , for almost simple groups and their representations. In this article, we c…
Duality theory of tautological systems
Paul Görlach, Christian Sevenheck
We discuss the holonomic dual of tautological systems, with a view towards applications to linear free divisors and to homogeneous spaces. As a technical tool, we consider a Cheval…