On binary quartics and the Cassels–Tate pairing
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Abstract
Abstract: We use the invariant theory of binary quartics to give a new formula for the Cassels–Tate pairing on the 2-Selmer group of an elliptic curve. Unlike earlier methods, our formula does not require us to solve any conics. An important role in our construction is played by a certain K3 surface defined by a (2, 2, 2)-form.
Description
Journal Title
Conference Name
Journal ISSN
2522-0160
2363-9555
2363-9555
Volume Title
Publisher
Springer International Publishing
Publisher DOI
Rights and licensing
Except where otherwised noted, this item's license is described as http://creativecommons.org/licenses/by/4.0/