Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Yasuda, Seidai"'
In this paper, we establish the theory of local newforms for irreducible tempered generic representations of unramified odd unitary groups over a non-archimedean local field. For the proof, we prove an analogue of the fundamental lemma for our compac
Externí odkaz:
http://arxiv.org/abs/2206.09515
In [12], Jacquet--Piatetskii-Shapiro--Shalika defined a family of compact open subgroups of $p$-adic general linear groups indexed by non-negative integers, and established the theory of local newforms for irreducible generic representations. In this
Externí odkaz:
http://arxiv.org/abs/2110.09070
We construct an explicit sequence $V_{k_n,a_n}$ of crystalline representations of exceptional weights converging to a given irreducible two-dimensional semi-stable representation $V_{k,{\mathcal{L}}}$ of $\mathrm{Gal}({\overline{\mathbb{Q}}}_p/{\math
Externí odkaz:
http://arxiv.org/abs/2109.13676
Autor:
Kondo, Satoshi, Yasuda, Seidai
Let $d \ge 1$. We study a subspace of the space of automorphic forms of $\mathrm{GL}_d$ over a global field of positive characteristic (or, a function field of a curve over a finite field). We fix a place $\infty$ of $F$, and we consider the subspace
Externí odkaz:
http://arxiv.org/abs/2101.01424
Publikováno v:
In Journal of Number Theory June 2024
Autor:
Kondo, Satoshi, Yasuda, Seidai
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 systems, we look at those of cyclotomic units and of Beilinson-Kato elem
Externí odkaz:
http://arxiv.org/abs/1801.04817
Autor:
Kondo, Satoshi, Yasuda, Seidai
In this paper, we show that the maximal divisible subgroup of groups $K_1$ and $K_2$ of an elliptic curve $E$ over a function field is uniquely divisible. Further those $K$-groups modulo this uniquely divisible subgroup are explicitly computed. We al
Externí odkaz:
http://arxiv.org/abs/1711.05749
Autor:
Kondo, Satoshi, Yasuda, Seidai
Publikováno v:
Pacific J. Math. 304 (2020) 481-503
Let $A$ be the coordinate ring of a projective smooth curve over a finite field minus a closed point. For a nontrivial ideal $I \subset A$, Drinfeld defined the notion of structure of level $I$ on a Drinfeld module. We extend this to that of level $N
Externí odkaz:
http://arxiv.org/abs/1708.06106
Autor:
Sugiyama, Yusuke, Yasuda, Seidai
Publikováno v:
Compositio Math. 156 (2020) 325-339
We prove an analogue of Belyi's theorem in characteristic two. Our proof consists of the following three steps. We first introduce a new notion called "pseudo-tame" for morphisms between curves over an algebraically closed field of characteristic two
Externí odkaz:
http://arxiv.org/abs/1708.03036
Autor:
Bannai, Kenichi, Hagihara, Kei, Kobayashi, Shinichi, Yamada, Kazuki, Yamamoto, Shuji, Yasuda, Seidai
Publikováno v:
Asian J. Math. 24 (2020), no. 1, 31-76
The purpose of this article is to investigate the properties of the category of mixed plectic Hodge structures defined by Nekov\'a\v{r} and Scholl. We give an equivalent description of mixed plectic Hodge structures in terms of the weight and partial
Externí odkaz:
http://arxiv.org/abs/1705.05522