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Galois Deformation Ring and Base Change to a Quadratic Field. Hida, Haruzo
Description
Consider the universal minimal p-ordinary deformation rT into GL(2, T ) (for a prime p â ¥ 5) of a modulo p induced representation from a quadratic field F. For almost all primes p split in F, we describe how to determine T as an algebra over the weight Iwasawa algebra Î as an extension of degree 1,2,3. This implies that the Pontryagin dual of the adjoint Selmer group of rT is isomorphic to Î /(Lp) as Lambda-modules for an explicit power series Lp.
Item Metadata
Title |
Galois Deformation Ring and Base Change to a Quadratic Field.
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-10-02T14:00
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Description |
Consider the universal minimal p-ordinary deformation rT into GL(2, T ) (for a prime p â ¥ 5) of a modulo p induced representation from a quadratic field F. For almost all primes p split in F, we describe how to determine T as an algebra over the weight Iwasawa algebra Î as an extension of degree 1,2,3. This implies that the Pontryagin dual of the adjoint Selmer group of rT is isomorphic to Î /(Lp) as Lambda-modules for an explicit power series Lp.
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Extent |
65.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of California, Los Angeles
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Series | |
Date Available |
2019-04-01
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0377711
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International