paper

Characterizing Curves by their odd Theta-characteristics

arXiv:math/0204164

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.

29 pages, Plain TeX

Characterizing Curves by their odd Theta-characteristics · wovepaper