From Hodge theory for tame functions to Ehrhart theory for polytopes
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866911788814041088 |
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| author | Douai, Antoine |
| author_facet | Douai, Antoine |
| contents | We study the interplay between Sabbah's mixed Hodge structure for regular functions and Ehrhart theory for polytopes. To this end, we analyze the properties of the Poincaré polynomial of the Hodge filtration of this mixed Hodge structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_13669 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | From Hodge theory for tame functions to Ehrhart theory for polytopes Douai, Antoine Algebraic Geometry Combinatorics 52B20, 32S40 We study the interplay between Sabbah's mixed Hodge structure for regular functions and Ehrhart theory for polytopes. To this end, we analyze the properties of the Poincaré polynomial of the Hodge filtration of this mixed Hodge structure. |
| title | From Hodge theory for tame functions to Ehrhart theory for polytopes |
| topic | Algebraic Geometry Combinatorics 52B20, 32S40 |
| url | https://arxiv.org/abs/2006.13669 |