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 $\M_g^{ct}$.

The paper has been withdrawn by the author due to a gap in the final arguments

References in corpus (3)

• On the tautological ring of $\M _g$
• An affine open covering of ${\mathcal{M}}_g$ for $g\le 5$
• Real normalized differentials and Arbarello's conjecture