GENERALIZED EXPLICIT DESCENT AND ITS APPLICATION TO CURVES OF GENUS 3

We introduce a common generalization of essentially all known methods for explicit computation of Selmer groups, which are used to bound the ranks of abelian varieties over global fields. We also simplify and extend the proofs relating what is computed to the cohomologically defined Selmer groups. S...

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Bibliographic Details
Main Authors: Bruin, Nils, Stoll, Michael, Poonen, Bjorn
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Cambridge University Press (CUP) 2018
Online Access:http://hdl.handle.net/1721.1/116049
https://orcid.org/0000-0002-8593-2792