A categorical Künneth formula for constructible Weil sheaves
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866913237699657728 |
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| author | Hemo, Tamir Richarz, Timo Scholbach, Jakob |
| author_facet | Hemo, Tamir Richarz, Timo Scholbach, Jakob |
| contents | We prove a Künneth-type equivalence of derived categories of lisse and constructible Weil sheaves on schemes in characteristic $p > 0$ for various coefficients, including finite discrete rings, algebraic field extensions $E \supset \mathbf Q_\ell$, $\ell \ne p$ and their rings of integers $O_E$. We also consider a variant for ind-construtible sheaves which applies to the cohomology of moduli stacks of shtukas over global function fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_02853 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A categorical Künneth formula for constructible Weil sheaves Hemo, Tamir Richarz, Timo Scholbach, Jakob Algebraic Geometry Number Theory We prove a Künneth-type equivalence of derived categories of lisse and constructible Weil sheaves on schemes in characteristic $p > 0$ for various coefficients, including finite discrete rings, algebraic field extensions $E \supset \mathbf Q_\ell$, $\ell \ne p$ and their rings of integers $O_E$. We also consider a variant for ind-construtible sheaves which applies to the cohomology of moduli stacks of shtukas over global function fields. |
| title | A categorical Künneth formula for constructible Weil sheaves |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2012.02853 |