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An explicit theory of heights for hyperelliptic Jacobians of genus three

Title data

Stoll, Michael:
An explicit theory of heights for hyperelliptic Jacobians of genus three.
In: Böckle, Gebhard ; Decker, Wolfram ; Malle, Gunter (ed.): Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory. - Cham : Springer , 2017 . - pp. 665-715
ISBN 978-3-319-70565-1
DOI: https://doi.org/10.1007/978-3-319-70566-8_29

Project information

Project title:
Project's official titleProject's id
Algorithmic and Experimental Methods in Algebra, Geometry and Number TheorySPP 1489

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We develop an explicit theory of Kummer varieties associated to Jacobians of hyperelliptic curves of genus 3, over any field k of characteristic ≠ 2. In particular, we provide explicit equations defining the Kummer variety

Further data

Item Type: Article in a book
Refereed: Yes
Keywords: Kummer variety; Hyperelliptic curve; Genus 3; Canonical height
Subject classification: Mathematics Subject Classification Code: 14H40 14H45 11G10 11G50 14Q05 14Q15
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II > Chair Mathematics II - Univ.-Prof. Dr. Michael Stoll
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 20 Jun 2018 11:32
Last Modified: 20 Jun 2018 11:32
URI: https://eref.uni-bayreuth.de/id/eprint/44581