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Theta characteristics and their moduli

We discuss various aspects of the geometry of theta characteristics including the birational geometry of the spin moduli space of curves, parametrization of moduli via special K3 surfaces, as well as the relation with classical theta function theory and string theory in the form of the superstring measure. A historical view of the development of the subject is also presented.

preprint2012arXivOpen access
Gavril Farkas
math.AG
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Open access1 author1 topic
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Gavril Farkas

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