Zobrazeno 1 - 10
of 81
pro vyhledávání: '"11S23"'
Autor:
Watanabe, Takumi
Let $K$ be a mixed characteristic complete discrete valuation field with perfect residue field of characteristic $p$. We construct a new linear category called the category of crystalline $(\varphi,\Gamma)$-modules over $\widetilde{\mathbb{A}}_K^{+}$
Externí odkaz:
http://arxiv.org/abs/2405.19829
Autor:
Abhinandan
For $p \geq 3$ and an unramified extension $F/\mathbb{Q}_p$ with perfect residue field, we define a syntomic complex with coefficients in a Wach module over a certain period ring for $F$. We show that our complex computes the crystalline part of the
Externí odkaz:
http://arxiv.org/abs/2405.17012
Autor:
Moss, Gilbert, Trias, Justin
Let $R$ be a commutative $\mathbb{Z}[1/p]$-algebra, let $m \leq n$ be positive integers, and let $G_n=\text{GL}_n(F)$ and $G_m=\text{GL}_m(F)$ where $F$ is a $p$-adic field. The Weil representation is the smooth $R[G_n\times G_m]$-module $C_c^{\infty
Externí odkaz:
http://arxiv.org/abs/2312.12031
Autor:
Abhinandan
We study relative Wach modules generalising our previous works on this subject. Our main result shows a categorical equivalence between relative integral Wach modules and lattices inside relative crystalline representations. Using this result, we ded
Externí odkaz:
http://arxiv.org/abs/2309.16446
Autor:
Abhinandan
For an absolutely unramified field extension $L/\mathbb{Q}_p$ with imperfect residue field, we develop the notion of Wach modules in the setting of $(\varphi,\Gamma)$-modules for $L$. Our main result establishes a categorical equivalence between latt
Externí odkaz:
http://arxiv.org/abs/2308.11191
In this work, we address the $p$-adic analogues of the fermion spin Lie algebras and Lie groups. We consider the extension of the fermion spin Lie groups and Lie algebras to the $p-$adic Lie groups and investigate the way to extend their integral to
Externí odkaz:
http://arxiv.org/abs/2308.06363
Autor:
Matringe, Nadir, Trias, Justin
Let $R$ be an algebraically closed field and $\ell$ be its characteristic. Let $G$ be a locally profinite group having a compact open subgroup of invertible pro-order in $R$. Take $N$ a closed subgroup of $G$ exhausted by compact subgroups of inverti
Externí odkaz:
http://arxiv.org/abs/2209.15353
Autor:
Ophir, Amit, Weiss, Ariel
Publikováno v:
Res Math Sci 11, 9 (2024)
Let $\rho\colon G\to \mathrm{GL}_2(K)$ be a continuous representation of a compact group $G$ over a complete discretely valued field $K$, with ring of integers $\mathcal O$ and uniformiser $\pi$. We prove that $\operatorname{tr}\rho$ is reducible mod
Externí odkaz:
http://arxiv.org/abs/2111.01559
Autor:
Kucukoglu, Irem
The main purpose of this paper is to present various identities and computation formulas for certain classes of Apostol-type numbers and polynomials. The results of this paper contain not only the $\lambda$-Apostol-Daehee numbers and polynomials, but
Externí odkaz:
http://arxiv.org/abs/2012.09208
Autor:
Mello, Jorge
We study the extension of a result of Loxton (1972) on representation of algebraic integers as sums of roots of unity to Kummer extensions.
Externí odkaz:
http://arxiv.org/abs/1912.09010