Ring-Theoretic Properties of Certain Hecke Algebras

@article{Taylor1995RingTheoreticPO,
  title={Ring-Theoretic Properties of Certain Hecke Algebras},
  author={Richard Taylor and Andrew Wiles},
  journal={Annals of Mathematics},
  year={1995},
  volume={141},
  pages={553-572}
}
The purpose of this article is to provide a key ingredient of [W2] by establishing that certain minimal Hecke algebras considered there are complete intersections. As is recorded in [W2], a method going back to Mazur [M] allows one to show that these algebras are Gorenstein, but for the complete intersection property a new approach is required. The methods of this paper are related to those of Chapter 3 of [W2]. The methods of Section 3 of this paper are based on a previous approach of one of… 

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