Theta characteristics and their moduli

Details Theta characteristics and their moduli Theta characteristics and their moduli

2012-01-12

arxiv.org/abs/1201.2557v3

Mathematics

Algebraic Geometry

24 pages, final version. To appear in the Milan Journal of Mathematics

Scientific paper

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.

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