Results 1 to 10 of about 75 (56)

Automorphic vector bundles on the stack of G-zips

Forum of Mathematics, Sigma, 2021
For a connected reductive group G over a finite field, we study automorphic vector bundles on the stack of G-zips. In particular, we give a formula in the general case for the space of global sections of an automorphic vector bundle in terms of the ...
Naoki Imai, Jean-Stefan Koskivirta
doaj   +1 more source

CM liftings of $K3$ surfaces over finite fields and their applications to the Tate conjecture

Forum of Mathematics, Sigma, 2021
We give applications of integral canonical models of orthogonal Shimura varieties and the Kuga-Satake morphism to the arithmetic of $K3$ surfaces over finite fields.
Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa   +2 more
doaj   +1 more source

Point counting for foliations over number fields

Forum of Mathematics, Pi, 2022
Let${\mathbb M}$ be an affine variety equipped with a foliation, both defined over a number field ${\mathbb K}$. For an algebraic $V\subset {\mathbb M}$ over ${\mathbb K}$, write $\delta _{V}$ for the maximum of the degree and log-height of V.
Gal Binyamini
doaj   +1 more source

On Artin representations and nearly ordinary Hecke algebras over totally real fields

Documenta Mathematica, 2013
We prove many new cases of the strong Artin conjecture for two-dimensional, totally odd, insoluble (icosahedral) representations Gal(F/F ) → GL2(C) of the absolute Galois group of a totally real field F .
Shu Sasaki
semanticscholar   +1 more source

The EKOR-stratification on the Siegel modular variety with parahoric level structure [PDF]

Épijournal de Géométrie Algébrique
We study the arithmetic geometry of the reduction modulo $p$ of the Siegel modular variety with parahoric level structure. We realize the EKOR-stratification on this variety as the fibers of a smooth morphism into an algebraic stack parametrizing ...
Manuel Hoff
doaj   +1 more source

Several variables $p$-adic $L$-functions for Hida families of Hilbert modular forms

Documenta Mathematica, 2012
After formulating Conjecture A for p-adic L-functions defined over ordinary Hilbert modular Hida deformations on a totally real field F of degree d, we construct two p-adic L-functions of d+1-variable depending on the parity of weight as a partial result
T. Ochiai
semanticscholar   +1 more source

ENLARGED MIXED SHIMURA VARIETIES, BI-ALGEBRAIC SYSTEM AND SOME AX TYPE TRANSCENDENTAL RESULTS

Forum of Mathematics, Sigma, 2019
We develop a theory of enlarged mixed Shimura varieties, putting the universal vectorial bi-extension defined by Coleman into this framework to study some functional transcendental results of Ax type. We study their bi-algebraic systems, formulate the Ax-
ZIYANG GAO
doaj   +1 more source

$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS

Forum of Mathematics, Pi, 2020
This paper completes the construction of $p$-adic $L$-functions for unitary groups. More precisely, in Harris, Li and Skinner [‘$p$-adic $L$-functions for unitary Shimura varieties. I. Construction of the Eisenstein measure’, Doc. Math.Extra Vol. (2006),
ELLEN EISCHEN, MICHAEL HARRIS, JIANSHU LI, CHRISTOPHER SKINNER   +3 more
doaj   +1 more source

2-ADIC INTEGRAL CANONICAL MODELS

Forum of Mathematics, Sigma, 2016
We use Lau’s classification of 2-divisible groups using Dieudonné displays to construct integral canonical models for Shimura varieties of abelian type at 2-adic places where the level is hyperspecial.
WANSU KIM, KEERTHI MADAPUSI PERA
doaj   +1 more source

RAPOPORT–ZINK UNIFORMIZATION OF HODGE-TYPE SHIMURA VARIETIES

Forum of Mathematics, Sigma, 2018
We show that the integral canonical models of Hodge-type Shimura varieties at odd good reduction primes admits ‘$p$-adic uniformization’ by Rapoport–Zink spaces of Hodge type constructed in Kim [Forum Math. Sigma6 (2018) e8, 110 MR 3812116].
WANSU KIM
doaj   +1 more source