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Explicit coverings of K3 surfaces by the square of a curve Logan, Adam
Description
Paranjape showed that K3 surfaces that are double covers of P^2 branched along six lines are dominated by the square of a curve of genus 5. In this talk, we describe a somewhat analogous construction and use it to show that K3 surfaces in P^4 with 15 nodes are dominated by the square of a curve of genus 7. We will explain a birational equivalence between the moduli space of a related family of K3 surfaces and a moduli space of covers of rational curves with additional data. This is joint work with Colin Ingalls and Owen Patashnick.
Item Metadata
Title |
Explicit coverings of K3 surfaces by the square of a curve
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2020-09-02T10:40
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Description |
Paranjape showed that K3 surfaces that are double covers of P^2
branched along six lines are dominated by the square of a curve of genus 5. In
this talk, we describe a somewhat analogous construction and use it to show that
K3 surfaces in P^4 with 15 nodes are dominated by the square of a curve of genus
7. We will explain a birational equivalence between the moduli space of a
related family of K3 surfaces and a moduli space of covers of rational curves
with additional data. This is joint work with Colin Ingalls and Owen
Patashnick.
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Extent |
27.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Government of Canada
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Series | |
Date Available |
2021-03-02
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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 |
10.14288/1.0396003
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Other
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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