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Quotients of hyperelliptic curves and Étale cohomology

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)747-768
Number of pages22
JournalQuarterly Journal of Mathematics
Volume69
Issue number2
Early online date8 Feb 2018
DOIs
DateAccepted/In press - 25 Oct 2017
DateE-pub ahead of print - 8 Feb 2018
DatePublished (current) - 1 Jun 2018

Abstract

We study hyperelliptic curves C with an action of an affine group of automorphisms G. We establish a closed form expression for the quotient curve C/G and for the first étale cohomology group of C as a representation of G. The motivation comes from the arithmetic of hyperelliptic curves over local fields, specifically their local Galois representations and the associated invariants.

    Research areas

  • hyperelliptic curves, quotient curves, etale cohomology, Galois representations

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  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Oxford Academic at https://academic.oup.com/qjmath/article/69/2/747/4844050 . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 382 KB, PDF-document

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