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arxiv: math/0204164 · v2 · submitted 2002-04-12 · 🧮 math.AG

Characterizing Curves by their odd Theta-characteristics

classification 🧮 math.AG
keywords curvestheta-characteristicscanonicalcharacterizingcombinatorialcurvecuttingdetermined
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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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