Real normalized differentials and compact cycles in the moduli space of curves
Abstract
Using constructions of the Whitham perturbation theory of integrable system we prove a new sharp upper bound of $3g/2-2$ on the dimension of complete subvarieties of $\M_g^{ct}$.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2012
- DOI:
- 10.48550/arXiv.1204.2192
- arXiv:
- arXiv:1204.2192
- Bibcode:
- 2012arXiv1204.2192K
- Keywords:
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- Mathematics - Algebraic Geometry;
- High Energy Physics - Theory
- E-Print:
- The paper has been withdrawn by the author due to a gap in the final arguments