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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…
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…
Towards classifying toric degenerations of cubic surfaces
Maria Donten-Bury, Paul Görlach, Milena Wrobel
We investigate the class of degenerations of smooth cubic surfaces which are obtained from degenerating their Cox rings to toric algebras. More precisely, we work in the spirit of…