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Degeneration of K3 surfaces and automorphisms Matsumoto, Yuya
Description
We prove that a K3 surface with an automorphism acting on the global 2-forms by a primitive $m$-th root of unity does not degenerate if $m \neq 1,2,3,4,6$ (assuming the existence of the so-called Kulikov models). To prove this we study the rationality of the actions of automorphisms on the graded quotients of the weight filtration of the $l$-adic cohomology groups.
Item Metadata
| Title |
Degeneration of K3 surfaces and automorphisms
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2017-03-13T17:30
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| Description |
We prove that a K3 surface with an automorphism acting on the global
2-forms by a primitive $m$-th root of unity does not degenerate if $m
\neq 1,2,3,4,6$ (assuming the existence of the so-called Kulikov
models).
To prove this we study the rationality of the actions of automorphisms
on the graded quotients of the weight filtration of the $l$-adic
cohomology groups.
|
| Extent |
32 minutes
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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 Tokyo
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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
|
| DOI |
10.14288/1.0355528
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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