Hidden Bibliographic Details
| Other authors / contributors: | University of Chicago. degree granting institution.
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| ISBN: | 9781321884432
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| Notes: | Advisors: Kazuya Kato Committee members: Takako Fukaya.
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Dissertation Abstracts International, Volume: 76-11(E), Section: B.
English
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| Summary: | We show that if an Eisenstein component of the p-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.
We also formulate a weaker Gorenstein property, and show that this weak Gorenstein property holds if and only if a weak form of Sharifi's conjecture and a weak form of Greenberg's conjecture hold.
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