Weber's formula for the bitangents of a smooth plane quartic
Algebraic Geometry
2016-12-08 v1
Abstract
In a section of his 1876 treatise Theorie der Abel'schen Functionen vom Geschlecht 3 Weber proved a formula that expresses the bitangents of a non-singular plane quartic in terms of Riemann theta constants (Thetanullwerte). The present note is devoted to a modern presentation of Weber's formula. In the end a connection with the universal bitangent matrix is also displayed.
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Cite
@article{arxiv.1612.02049,
title = {Weber's formula for the bitangents of a smooth plane quartic},
author = {Alessio Fiorentino},
journal= {arXiv preprint arXiv:1612.02049},
year = {2016}
}
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12 pages