Hecke algebras associated to Λ-adic modular forms
We show that if an Eisenstein component of the -adic Hecke algebra associated to modular forms is Gorenstein, then it is necessary that the plus-part of a certain ideal class group is trivial. We also show that this condition is sufficient whenever a conjecture of Sharifi holds.
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| Veröffentlicht in: | Journal für die reine und angewandte Mathematik 2015-03, Vol.2015 (700), p.113-128, Article 113 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We show that if an Eisenstein component of the
-adic Hecke algebra associated to modular forms is Gorenstein, then it is necessary that the plus-part of a certain ideal class group is trivial. We also show that this condition is sufficient whenever a conjecture of Sharifi holds. |
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| ISSN: | 0075-4102 1435-5345 |
| DOI: | 10.1515/crelle-2013-0017 |