15 citations · 66 across the 22 of their papers we have counts for
24 papers
Tautological systems and local cohomology
Paul Görlach, Thomas Reichelt, Christian Sevenheck +1
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 th…
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…
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…
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…
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…
Betti structures of hypergeometric equations
Davide Barco, Marco Hien, Andreas Hohl +1
We study Betti structures in the solution complexes of confluent hypergeometric equations. We use the framework of enhanced ind-sheaves and the irregular Riemann-Hilbert correspond…