Recovering plane curves from their bitangents

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We show that a general plane curve of degree at least 4 is uniquely determined by the full set of its bitangent lines. This problem has an elementary solution for degree at least 5, and the paper is almost entirely devoted to curves of degree 4, where we generalize the result to nodal quartics. In other words, we show that a general curve of genus 3 can be recovered from its 28 odd theta-characteristics.
Minor corrections. To appear in Journal of Algebraic Geometry

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/59828

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008239
 http://arxiv.org/abs/math/0008239

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arXiv