An explicit theory of heights for hyperelliptic Jacobians of genus three

Titelangaben

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

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Abstract

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