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Curves in Hilbert modular varieties Rousseau, Erwan
Description
We study curves in Hilbert modular varieties from the point of view of the Green-Gri\0ths-Lang conjecture claiming that entire curves in complex projective varieties of general type should be contained in a proper subvariety. Using holomorphic foliations theory, we establish the Second Main Theorem in this context as well as a function field analogue of Vojta’s conjecture. We also establish the strong Green-Gri\0ths-Lang conjecture for Hilbert modular varieties up to finitely many possible exceptions. (Joint work with F. Touzet)
Item Metadata
Title |
Curves in Hilbert modular varieties
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2015-03-17T11:00
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Description |
We study curves in Hilbert modular varieties from the point of view of the Green-Gri\0ths-Lang conjecture claiming that entire curves in complex projective varieties of general type should be contained in a proper subvariety. Using holomorphic foliations theory, we establish the Second Main Theorem in this context as well as a function field analogue of Vojta’s conjecture. We also establish the strong Green-Gri\0ths-Lang conjecture for Hilbert modular varieties up to finitely many possible exceptions. (Joint work with F. Touzet)
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Extent |
51 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Aix-Marseille Université
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Series | |
Date Available |
2016-05-05
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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 |
10.14288/1.0300467
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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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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International