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$p$-adic families of automorphic forms over some unitary Shimura varieties by Shen, Xu is a scholarly article available to read on EtoBox.

What is $p$-adic families of automorphic forms over some unitary Shimura varieties about?

We construct some $n$-dimensional eigenvarieties for finite slope overconvergent eigenforms over some unitary Shimura varieties with signature $(1,n-1)\times(0,n)\times\cdots\times(0,n)$ 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.

Author

Shen, Xu

Published

2014

Language

EN