Abstract
We study K3 surfaces over a number field k which are double
covers of extremal rational elliptic surfaces. We provide a list of all elliptic
fibrations on certain K3 surfaces together with the degree of the field extension
over which each genus one fibration is defined and admits a section. We show
that the latter depends, in general, on the action of the cover involution on
the fibers of the genus 1 fibration.
covers of extremal rational elliptic surfaces. We provide a list of all elliptic
fibrations on certain K3 surfaces together with the degree of the field extension
over which each genus one fibration is defined and admits a section. We show
that the latter depends, in general, on the action of the cover involution on
the fibers of the genus 1 fibration.
Original language | English |
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Title of host publication | Women in Numbers Europe III |
Subtitle of host publication | Research Directions in Number Theory |
Editors | Alina Carmen Cojocaru, Sorina Ionica, Elisa Lorenzo García |
Publisher | Springer |
Pages | 171-205 |
ISBN (Electronic) | 978-3-030-77700-5 |
ISBN (Print) | 978-3-030-77699-2 |
DOIs | |
Publication status | Published - 2021 |
Externally published | Yes |
Publication series
Name | Association for Women in Mathematics Series |
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Publisher | Springer |
Volume | 24 |