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arXiv · 2211.05356

Tautological systems, homogeneous spaces and the holonomic rank problem

Paul Görlach·Thomas Reichelt·Christian Sevenheck·Avi Steiner·Uli Walther
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Abstract

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 tautological systems associated to homogeneous spaces by giving a functorial construction for them. As an application, we solve the holonomic rank problem for such tautological systems in full generality.

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Paul Görlach, Thomas Reichelt, Christian Sevenheck, Avi Steiner, Uli Walther. 2026-03-06. Tautological systems, homogeneous spaces and the holonomic rank problem. https://arxiv.org/abs/2211.05356

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