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arXiv · 1211.6900

Explicit Kummer varieties of hyperelliptic Jacobian threefolds

J. Steffen Müller
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Abstract

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 Weierstra{\ss} point defined over the same field. We also construct homogeneous quartic polynomials on the Kummer variety and show that they represent the duplication map.

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J. Steffen Müller. 2012-11-29. Explicit Kummer varieties of hyperelliptic Jacobian threefolds. https://doi.org/10.1112/s1461157014000126

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