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