The Fundamental Group of Period Domains over Finite Fields
نویسنده
چکیده
We determine the fundamental group of period domains over finite fields. This answers a question of M. Rapoport raised in [R].
منابع مشابه
Structure of finite wavelet frames over prime fields
This article presents a systematic study for structure of finite wavelet frames over prime fields. Let $p$ be a positive prime integer and $mathbb{W}_p$ be the finite wavelet group over the prime field $mathbb{Z}_p$. We study theoretical frame aspects of finite wavelet systems generated by subgroups of the finite wavelet group $mathbb{W}_p$.
متن کاملClassical Wavelet Transforms over Finite Fields
This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as...
متن کاملClassical wavelet systems over finite fields
This article presents an analytic approach to study admissibility conditions related to classical full wavelet systems over finite fields using tools from computational harmonic analysis and theoretical linear algebra. It is shown that for a large class of non-zero window signals (wavelets), the generated classical full wavelet systems constitute a frame whose canonical dual are classical full ...
متن کاملDeligne-lusztig Varieties and Period Domains over Finite Fields
Let G0 be a reductive group over Fq. There are two classes of algebraic varieties over an algebraic closure F of Fq attached to G0. Let us recall their definition. We set G = G0×Fq F. To G there is associated the maximal torus, the Weyl group W and the set of fundamental reflections in W , cf. [DL] 1.1. Let X = XG be the set of all Borel subgroups of G. Then X is a smooth projective algebraic v...
متن کاملArithmetic Teichmuller Theory
By Grothedieck's Anabelian conjectures, Galois representations landing in outer automorphism group of the algebraic fundamental group which are associated to hyperbolic smooth curves defined over number fields encode all arithmetic information of these curves. The goal of this paper is to develope and arithmetic teichmuller theory, by which we mean, introducing arithmetic objects summarizing th...
متن کامل