The intersection cohomology Hodge module of toric varieties
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914218058448896 |
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| author | Kim, Hyunsuk Venkatesh, Sridhar |
| author_facet | Kim, Hyunsuk Venkatesh, Sridhar |
| contents | We study the Hodge filtration of the intersection cohomology Hodge module for toric varieties. More precisely, we study the cohomology sheaves of the graded de Rham complex of the intersection cohomology Hodge module and give a precise formula relating it with the stalks of the intersection cohomology as a constructible complex. The main idea is to use the Ishida complex in order to compute the higher direct images of the sheaf of reflexive differentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04767 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The intersection cohomology Hodge module of toric varieties Kim, Hyunsuk Venkatesh, Sridhar Algebraic Geometry Combinatorics 14B05, 14C30, 14F10, 14M25, 14Q99, 32S35, 52B22 We study the Hodge filtration of the intersection cohomology Hodge module for toric varieties. More precisely, we study the cohomology sheaves of the graded de Rham complex of the intersection cohomology Hodge module and give a precise formula relating it with the stalks of the intersection cohomology as a constructible complex. The main idea is to use the Ishida complex in order to compute the higher direct images of the sheaf of reflexive differentials. |
| title | The intersection cohomology Hodge module of toric varieties |
| topic | Algebraic Geometry Combinatorics 14B05, 14C30, 14F10, 14M25, 14Q99, 32S35, 52B22 |
| url | https://arxiv.org/abs/2404.04767 |