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Characterizing Curves by their odd Theta-characteristics

Lucia Caporaso·Edoardo Sernesi
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Abstract

We show that a general canonical curve is uniquely determined by the finite set of hyperplanes cutting theta-characteristics on it. Geometrical and combinatorial properties of the moduli space of stable spin curves are proved, which play an essential role.

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Lucia Caporaso, Edoardo Sernesi. 2002-05-03. Characterizing Curves by their odd Theta-characteristics. https://arxiv.org/abs/math/0204164

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