Theta characteristics and their moduli
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2012
- DOI:
- 10.48550/arXiv.1201.2557
- arXiv:
- arXiv:1201.2557
- Bibcode:
- 2012arXiv1201.2557F
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 24 pages, final version. To appear in the Milan Journal of Mathematics