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Hasse principle for a family of K3 surfaces Loughran, Daniel
Description
In this talk we study the Hasse principle for the family of "diagonal K3 surfaces of degree 2", given by the explicit equations: $$w^2 = A_1 x_1^6 + A_2 x_2^6 + A_3 x_3^6.$$ I will explain how many such surfaces, when ordered by their coefficients, have a Brauer-Manin obstruction to the Hasse principle. This is joint work with Damián Gvirtz and Masahiro Nakahara.
Item Metadata
| Title |
Hasse principle for a family of K3 surfaces
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2020-09-02T10:01
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| Description |
In this talk we study the Hasse principle for the family of "diagonal K3 surfaces of degree 2", given by the explicit equations:
$$w^2 = A_1 x_1^6 + A_2 x_2^6 + A_3 x_3^6.$$
I will explain how many such surfaces, when ordered by their coefficients, have a Brauer-Manin obstruction to the Hasse principle. This is joint work with Damián Gvirtz and Masahiro Nakahara.
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| Extent |
28.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Bath
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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 |
10.14288/1.0396002
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Researcher
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International