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On the construction of K3 surfaces over finite fields with given L-function Ito, Kazuhiro
Description
We give an unconditional construction of K3 surfaces over finite fields with given L-function, up to finite extensions of the base fields, under some mild restrictions on the characteristic. Previously, such results were obtained by Taelman assuming the validity of good reduction criterion for K3 surfaces. The main contribution of this talk is to make Taelman's proof unconditional.
Item Metadata
Title |
On the construction of K3 surfaces over finite fields with given L-function
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-03-13T16:45
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Description |
We give an unconditional construction of K3 surfaces over finite
fields with given L-function, up to finite extensions of the base fields,
under some mild restrictions on the characteristic. Previously, such results
were obtained by Taelman assuming the validity of good reduction criterion
for K3 surfaces. The main contribution of this talk is to make Taelman's
proof unconditional.
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Extent |
24 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Kyoto University
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Series | |
Date Available |
2017-09-10
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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 |
10.14288/1.0355527
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International