Tautological systems, homogeneous spaces and the holonomic rank problem
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914373387157504 |
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| author | Görlach, Paul Reichelt, Thomas Sevenheck, Christian Steiner, Avi Walther, Uli |
| author_facet | Görlach, Paul Reichelt, Thomas Sevenheck, Christian Steiner, Avi Walther, Uli |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_05356 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Tautological systems, homogeneous spaces and the holonomic rank problem Görlach, Paul Reichelt, Thomas Sevenheck, Christian Steiner, Avi Walther, Uli Algebraic Geometry 32C38, 14F10, 32S40 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. |
| title | Tautological systems, homogeneous spaces and the holonomic rank problem |
| topic | Algebraic Geometry 32C38, 14F10, 32S40 |
| url | https://arxiv.org/abs/2211.05356 |