A. Beshenov

most citedWeil-étale cohomology and zeta-values of arithmetic schemes at negative integers

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2021

Zeta-values of one-dimensional arithmetic schemes at strictly negative integers

Alexey Beshenov

Let $X$ be an arithmetic scheme (i.e., separated, of finite type over $Spec Z$ ) of Krull dimension $1$ . For the associated zeta function $ζ (X, s)$ , we write…

math.AG2021★ 1 cited

Weil-étale cohomology and zeta-values of arithmetic schemes at negative integers

Alexey Beshenov

Following the ideas of Flach and Morin (Doc. Math. 23 (2018), 1425--1560), we state a conjecture in terms of Weil-étale cohomology for the vanishing order and special value of the…

math.AG2020★ 1 cited

Weil-étale cohomology and duality for arithmetic schemes in negative weights

Alexey Beshenov

Flach and Morin constructed in (Doc. Math. 23 (2018), 1425--1560) Weil-étale cohomology $H_{W,c}^{i} (X, Z (n))$ for a proper, regular arithmetic scheme $X$ (i.e. separ…