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

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

2012-04-10

arxiv.org/abs/1204.2192v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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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