A Gersten complex on real schemes
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866917995658346496 |
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| author | Jin, Fangzhou Xie, Heng |
| author_facet | Jin, Fangzhou Xie, Heng |
| contents | We discuss a connection between coherent duality and Verdier duality via a Gersten-type complex of sheaves on real schemes, and show that this construction gives a dualizing object in the derived category, which is compatible with the exceptional inverse image functor $f^!$. The hypercohomology of this complex coincides with hypercohomology of the sheafified Gersten-Witt complex, which in some cases can be related to topological or semialgebraic Borel-Moore homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_04625 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A Gersten complex on real schemes Jin, Fangzhou Xie, Heng Algebraic Geometry K-Theory and Homology 11E81, 14F25, 14F42, 14P25, 19E15, 19G12 We discuss a connection between coherent duality and Verdier duality via a Gersten-type complex of sheaves on real schemes, and show that this construction gives a dualizing object in the derived category, which is compatible with the exceptional inverse image functor $f^!$. The hypercohomology of this complex coincides with hypercohomology of the sheafified Gersten-Witt complex, which in some cases can be related to topological or semialgebraic Borel-Moore homology. |
| title | A Gersten complex on real schemes |
| topic | Algebraic Geometry K-Theory and Homology 11E81, 14F25, 14F42, 14P25, 19E15, 19G12 |
| url | https://arxiv.org/abs/2007.04625 |