6 papers
Arithmetic quotients of the Bruhat-Tits building for projective general linear group in positive characteristic
Satoshi Kondo, Seidai Yasuda
Let . We study a subspace of the space of automorphic forms of over a global field of positive characteristic (or, a function field of a curve over a finit…
Modular Parametrization as Polyakov Path Integral: Cases with CM Elliptic Curves as Target Spaces
Satoshi Kondo, Taizan Watari
For an elliptic curve E over an abelian extension k/K with CM by K of Shimura type, the L-functions of its [k:K] Galois representations are Mellin transforms of Hecke theta functio…
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…
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…
String-theory Realization of Modular Forms for Elliptic Curves with Complex Multiplication
Satoshi Kondo, Taizan Watari
It is known that the L-function of an elliptic curve defined over Q is given by the Mellin transform of a modular form of weight 2. Does that modular form have anything to do with…
First and second -groups of an elliptic curve over a global field of positive characteristic
Satoshi Kondo, Seidai Yasuda
In this paper, we show that the maximal divisible subgroup of groups and of an elliptic curve over a function field is uniquely divisible. Further those -groups…