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arXiv · 2402.03160

Equations of genus $4$ curves from their theta constants

Jeroen Hanselman·Andreas Pieper·Sam Schiavone
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Abstract

In this article we give explicit formulas for the equations of a generic genus $4$ curve in terms of its theta constants. The method uses the Prym construction and the beautiful classical geometry around it.

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Jeroen Hanselman, Andreas Pieper, Sam Schiavone. 2026-06-03. Equations of genus $4$ curves from their theta constants. https://arxiv.org/abs/2402.03160

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