A Gersten complex on real schemes
| Autor: | Jin, Fangzhou, Xie, Heng |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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