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arXiv · 1507.00952

A new proof of the Caporaso-Sernesi theorem via Weber's formula

Francesco Dalla Piazza·Alessio Fiorentino
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Abstract

In this paper we give a new proof of Caporaso and Sernesi's result which states that the general plane quartic is uniquely determined by its 28 bitangents. Our proof uses classical geometric results, as it is based on Weber's formula and on the injectivity of the $\theta^{(4)}$ map.

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Francesco Dalla Piazza, Alessio Fiorentino. 2015-07-03. A new proof of the Caporaso-Sernesi theorem via Weber's formula. https://arxiv.org/abs/1507.00952

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