Explicit Kummer varieties of hyperelliptic Jacobian threefolds

We explicitly construct the Kummer variety associated to the Jacobian of a hyperelliptic curve of genus 3 that is defined over a field of characteristic not equal to 2 and has a Weierstraß point defined over the same field. We also construct homogeneous quartic polynomials on the Kummer variety and...

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Bibliographic Details
Published in:arXiv.org 2014-05
Main Author: J Steffen Müller
Format: Article
Language:English
Subjects:
Polynomials
Online Access:Get full text
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Summary:We explicitly construct the Kummer variety associated to the Jacobian of a hyperelliptic curve of genus 3 that is defined over a field of characteristic not equal to 2 and has a Weierstraß point defined over the same field. We also construct homogeneous quartic polynomials on the Kummer variety and show that they represent the duplication map.
ISSN:2331-8422
DOI:10.48550/arxiv.1211.6900