A. Grishkov

activity

20182021

collaborators

3 papers

math.NT2021

Reductions of Hecke correspondences on Anderson modular objects

Aleksandr Grishkov, Dmitry Logachev

We formulate some properties of a conjectural object $X_{f u n} (r, n)$ parametrizing Anderson t-motives of dimension $n$ and rank $r$ . Namely, we give formulas for $\goth p$-Hecke cor…

math.NT2020

Calculation of $h^{1}$ of some Anderson t-motives

Stefan Ehbauer, Aleksandr Grishkov, Dmitry Logachev

We consider Anderson t-motives $M$ of dimension 2 and rank 4 defined by some simple explicit equations parameterized by $2 \times 2$ matrices. We use methods of explicit calculation…

math.NT2018

$h^{1} \neq = h_{1}$ for Anderson t-motives

Aleksandr Grishkov, Dmitry Logachev

Let $M$ be an Anderson t-motive of dimension $n$ and rank $r$ . Associated are two $F_{q} [T]$ -modules $H^{1} (M)$ , $H_{1} (M)$ of dimensions $h^{1} (M)$ , $h_{1} (M) \leq r$ - analogs of $H^1(A…

Reductions of Hecke correspondences on Anderson modular objects

Calculation of h1 of some Anderson t-motives

h1=h1​ for Anderson t-motives

Calculation of $h^{1}$ of some Anderson t-motives

$h^{1} \neq = h_{1}$ for Anderson t-motives