تقرير
Non-finite type \'etale sites over fields
| العنوان: | Non-finite type \'etale sites over fields |
|---|---|
| المؤلفون: | Dhamore, Sujeet, Hogadi, Amit, Pawar, Rakesh |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14F20, 14F35, 14F42 (Primary), 12G05, 12G10 (Secondary) |
| الوصف: | We consider the notion of finite type-ness of a site introduced by Morel and Voevodsky, for the \'etale site of a field. For a given field $k$, we conjecture that the \'etale site of $Sm/k$ is of finite type if and only if the field $k$ admits a finite extension of finite cohomological dimension. We prove this conjecture in some cases, e.g. in the case when $k$ is countable, or in the case when the $p$-cohomological dimension $cd_p(k)$ is infinite for infinitely many primes $p$. Comment: 7 pages, comments are welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.06612 |
| رقم الأكسشن: | edsarx.2405.06612 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |