p-adic families of automorphic forms over some unitary Shimura varieties

Shen, Xu (2016) p-adic families of automorphic forms over some unitary Shimura varieties. MATHEMATICAL RESEARCH LETTERS, 23 (5). pp. 1469-1506. ISSN 1073-2780, 1945-001X

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Abstract

We construct some n-dimensional eigenvarieties for finite slope overconvergent eigenforms over some unitary Shimura varieties with signature (1, n - 1) x (0, n) x ... x (0, n) by adapting Andreatta-Iovita-Pilloni's method. We also show that there are some Galois pseudo-characters over our eigenvarieties by studying analytic continuation of finite slope eigenforms over these Shimura varieties.

Item Type: Article
Uncontrolled Keywords: MODULAR-FORMS; CURVES;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 03 Apr 2019 12:48
Last Modified: 03 Apr 2019 12:48
URI: https://pred.uni-regensburg.de/id/eprint/3331

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