8 citations · 17 across the 14 of their papers we have counts for
14 papers
-elliptic sheaves and the Hasse principle
Keisuke Arai, Shin Hattori, Satoshi Kondo +1
Let be a rational prime, a power of and . For an integer , let be a central division algebra over of dimension which is spli…
Local newforms for the general linear groups over a non-archimedean local field
Hiraku Atobe, Satoshi Kondo, Seidai Yasuda
In [12], Jacquet--Piatetskii-Shapiro--Shalika defined a family of compact open subgroups of -adic general linear groups indexed by non-negative integers, and established the the…
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…
Distributions and Euler systems for the general linear group
Satoshi Kondo, Seidai Yasuda
The main aim is to give a rigorous statement and proof of the slogan "the d-fold tensor product of distributions is an Euler system for GL_d". Of the few known examples of Euler sy…
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…
Regularity of quotients of Drinfeld modular schemes
Satoshi Kondo, Seidai Yasuda
Let be the coordinate ring of a projective smooth curve over a finite field minus a closed point. For a nontrivial ideal , Drinfeld defined the notion of structure…
Sites whose topoi are the smooth representations of locally profinite groups
Satoshi Kondo, Seidai Yasuda
We define a class of sites such that the associated topos is equivalent to the category of smooth sets (representations) of some locally prodiscrete monoids (to be defined). Exampl…
Modular Operads of Embedded Curves
Satoshi Kondo, Charles Siegel, Jesse Wolfson
For each k greater than or equal to 5, we construct a modular operad of "k-log-canonically embedded" curves.
The Borel-Moore homology of an arithmetic quotient of the Bruhat-Tits building of PGL of a non-archimedean local field in positive characteristic and modular symbols
Satoshi Kondo, Seidai Yasuda
We study the homology and the Borel-Moore homology with coefficients in of a quotient (called arithmetic quotient) of the Bruhat-Tits building of of a n…
On two higher Chow groups of schemes over a finite field
Satoshi Kondo, Seidai Yasuda
Given a separated scheme of finite type over a finite field, its higher Chow groups and are computed explicitly.