Theta characteristics and their moduli
arXiv:1201.2557
Abstract
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.
24 pages, final version. To appear in the Milan Journal of Mathematics
References in corpus (5)
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- Superstring scattering amplitudes in higher genus
- The geometry of the moduli space of odd spin curves
- The final log canonical model of the moduli space of stable curves of genus four
- Moduli of theta-characteristics via Nikulin surfaces