Characterizing Curves by their odd Theta-characteristics

Details Characterizing Curves by their odd Theta-characteristics Characterizing Curves by their odd Theta-characteristics

2002-04-12

arxiv.org/abs/math/0204164v2

Mathematics

Algebraic Geometry

29 pages, Plain TeX

Scientific paper

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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