Some remarks on the companions conjecture for normal varieties
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| Acceso en línea: | |
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| _version_ | 1866915236087332864 |
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| author | D'Addezio, Marco |
| author_facet | D'Addezio, Marco |
| contents | Drinfeld in 2010 proved the companions conjecture for smooth varieties over a finite field, generalizing L. Lafforgue's result for smooth curves. We study the obstruction to prove the conjecture for arbitrary normal varieties. To do this, we introduce a new property of morphisms. We verify this property in some cases, showing thereby the companions conjecture for some singular normal varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_09954 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Some remarks on the companions conjecture for normal varieties D'Addezio, Marco Number Theory Algebraic Geometry Drinfeld in 2010 proved the companions conjecture for smooth varieties over a finite field, generalizing L. Lafforgue's result for smooth curves. We study the obstruction to prove the conjecture for arbitrary normal varieties. To do this, we introduce a new property of morphisms. We verify this property in some cases, showing thereby the companions conjecture for some singular normal varieties. |
| title | Some remarks on the companions conjecture for normal varieties |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2006.09954 |