Mazur's principle for U(1,d)
Number Theory
2019-03-27 v4
Abstract
The Mazur principle give simple conditions for an irreducible unramified -representation coming from a modular form of level to come for some modular form of level . The aim of this work is to give a generalization of this principle in higher dimension for some particular extended inner forms non quasi split of a unitary group studying the torsion cohomology classes of Shimura varieties of Kottwitz-Harris-Taylor type within its link with the local monodromy degeneracy.
Keywords
Cite
@article{arxiv.1507.02421,
title = {Mazur's principle for U(1,d)},
author = {Pascal Boyer},
journal= {arXiv preprint arXiv:1507.02421},
year = {2019}
}
Comments
in French. arXiv admin note: text overlap with arXiv:1503.03303