1 results
Level 1 Hecke algebras of modular forms modulo
$p$
- Part of
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- Journal:
- Compositio Mathematica / Volume 151 / Issue 3 / March 2015
- Published online by Cambridge University Press:
- 27 November 2014, pp. 397-415
- Print publication:
- March 2015
-
- Article
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In this paper, we study the structure of the local components of the (shallow, i.e. without
$U_{p}$) Hecke algebras acting on the space of modular forms modulo 
$p$ of level 
$1$, and relate them to pseudo-deformation rings. In many cases, we prove that those local components are regular complete local algebras of dimension 
$2$, generalizing a recent result of Nicolas and Serre for the case 
$p=2$.
