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2017 Structure of Hecke algebras of modular forms modulo $p$
Shaunak Deo
Algebra Number Theory 11(1): 1-38 (2017). DOI: 10.2140/ant.2017.11.1

Abstract

Generalizing the recent results of Bellaïche and Khare for the level-1 case, we study the structure of the local components of the shallow Hecke algebras (i.e., Hecke algebras without Up and U for all primes dividing the level N) acting on the space of modular forms modulo p for Γ0(N) and Γ1(N). We relate them to pseudodeformation rings and prove that in many cases, the local components are regular complete local algebras of dimension 2.

Citation

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Shaunak Deo. "Structure of Hecke algebras of modular forms modulo $p$." Algebra Number Theory 11 (1) 1 - 38, 2017. https://doi.org/10.2140/ant.2017.11.1

Information

Received: 31 July 2015; Revised: 5 August 2016; Accepted: 17 November 2016; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1361.11038
MathSciNet: MR3602765
Digital Object Identifier: 10.2140/ant.2017.11.1

Subjects:
Primary: 11F80
Secondary: 11F25, 11F33

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.11 • No. 1 • 2017
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