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

Authors
  • Piazza, Francesco Dalla
  • Fiorentino, Alessio
Type
Preprint
Publication Date
Jul 03, 2015
Submission Date
Jul 03, 2015
Identifiers
arXiv ID: 1507.00952
Source
arXiv
License
Yellow
External links

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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