scholarly journals Irreducibility of versal deformation rings in the (p,p)-case for 2-dimensional representations

2015 ◽  
Vol 444 ◽  
pp. 81-123 ◽  
Author(s):  
Gebhard Böckle ◽  
Ann-Kristin Juschka
Keyword(s):  
Versal Deformation ◽  
Deformation Rings

scholarly journals Universal deformation rings and tame blocks

2014 ◽  
Vol 412 ◽  
pp. 87-106
Author(s):  
Frauke M. Bleher ◽  
Giovanna Llosent ◽  
Jennifer B. Schaefer
Keyword(s):  
Universal Deformation Rings ◽  
Deformation Rings

scholarly journals On automorphic points in polarized deformation rings

2019 ◽  
Vol 141 (1) ◽  
pp. 119-167 ◽  
Author(s):  
Patrick B. Allen
Keyword(s):  
Deformation Rings

scholarly journals Level 1 Hecke algebras of modular forms modulo 

2014 ◽  
Vol 151 (3) ◽  
pp. 397-415 ◽  
Author(s):  
Joël Bellaïche ◽  
Chandrashekhar Khare
Keyword(s):  
Recent Result ◽  
Modular Forms ◽  
Hecke Algebras ◽  
Local Algebras ◽  
Deformation Rings ◽  
Level 1

AbstractIn 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 $p=2$.

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