S. Kondo

activity

20172024

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4 papers · 1 filter

math.NT2024

$D$ -elliptic sheaves and the Hasse principle

Keisuke Arai, Shin Hattori, Satoshi Kondo +1

Let $p$ be a rational prime, $q > 1$ a power of $p$ and $F = F_{q} (t)$ . For an integer $d \geq 2$ , let $D$ be a central division algebra over $F$ of dimension $d^{2}$ which is spli…

math.NT2021

Arithmetic quotients of the Bruhat-Tits building for projective general linear group in positive characteristic

Satoshi Kondo, Seidai Yasuda

Let $d \geq 1$ . We study a subspace of the space of automorphic forms of $GL_{d}$ over a global field of positive characteristic (or, a function field of a curve over a finit…

math.NT2019

Drinfeld-Stuhler modules and the Hasse principle

Keisuke Arai, Satoshi Kondo, Mihran Papikian

We develop a theory of canonical isogeny characters of Drinfeld-Stuhler modules similar to the theory of canonical isogeny characters of abelian surfaces with quaternionic multipli…

math.NT2018

An explicit form of the canonical submodule of a Drinfeld module

Satoshi Kondo, Yusuke Sugiyama

We define the canonical submodule of a Drinfeld module of rank greater than one over the affine line over a finite field. (This extends the definition of the level 1 canonical subg…

D-elliptic sheaves and the Hasse principle

Arithmetic quotients of the Bruhat-Tits building for projective general linear group in positive characteristic

Drinfeld-Stuhler modules and the Hasse principle

An explicit form of the canonical submodule of a Drinfeld module

$D$ -elliptic sheaves and the Hasse principle