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Real normalized differentials and compact cycles in the moduli space of curves

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 $\M_g^{ct}$.

preprint2013arXivOpen access

I. Krichever

math.AG hep-th

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Real normalized differentials and compact cycles in the moduli space of curves

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