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arxiv: 1204.2192 · v2 · pith:CPAXUJDFnew · submitted 2012-04-10 · 🧮 math.AG · hep-th

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

classification 🧮 math.AG hep-th
keywords boundcompactcompleteconstructionscurvescyclesdifferentialsdimension
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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 $\M_g^{ct}$.

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