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Rank 2 $F$-isocrystals and abelian varieties Krishnamoorthy, Subrahmanya
Description
We report on joint work-in-progress with Ambrus Pal on the following conjecture. Conjecture: Let $X$ be a smooth variety over a finite field $k$ and let $E$ be an overconvergent F-isocrystal on $X$ that has rank 2 and is absolutely irreducible. Suppose further that $E$ has "infinite monodromy at a divisor at infinity." Then $E$ comes from a family of abelian varieties.
Item Metadata
| Title |
Rank 2 $F$-isocrystals and abelian varieties
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2017-10-04T09:05
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| Description |
We report on joint work-in-progress with Ambrus Pal on the
following conjecture.
Conjecture: Let $X$ be a smooth variety over a finite field $k$ and let $E$ be an
overconvergent F-isocrystal on $X$ that has rank 2 and is absolutely
irreducible. Suppose further that $E$ has "infinite monodromy at a divisor at
infinity." Then $E$ comes from a family of abelian varieties.
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| Extent |
60 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Freie Universität Berlin
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| Series | |
| Date Available |
2018-04-03
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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 |
10.14288/1.0364626
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Postdoctoral
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International