论文标题

重言式系统,同质空间和自动排名问题

Tautological systems, homogeneous spaces and the holonomic rank problem

论文作者

Görlach, Paul, Reichelt, Thomas, Sevenheck, Christian, Steiner, Avi, Walther, Uli

论文摘要

由几何设置产生的许多高几何微分系统可以赋予混合霍奇模块的结构。我们通过为它们提供功能性结构来将这种基本结果推广到与均质空间相关的重言式系统。作为应用程序,我们以完全一般性解决了此类重言式系统的自动排名问题。

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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