On the effective cone of ${\overline{\mathcal{M}}}_{g,n}$

Abstract

For every $g\ge 2$ and $n\ge g+1$ we exhibit infinitely many extremal effective divisors in ${\overline{\mathcal{M}}}_{g,n}$ coming from the strata of abelian differentials.

arXiv comment16 pages, 8 figures

References in corpus (4)

• Invariant and stationary measures for the SL(2,R) action on Moduli space
• Compactification of strata of abelian differentials
• On blowing up the weighted projective plane
• Effective divisors in ${\overline{\mathcal{M}}}_{g,n}$ from abelian differentials

Cited by in corpus (5)

• Compactification of strata of abelian differentials
• GL(2,R)-Invariant Measures in Marked Strata: Generic Marked Points, Earle-Kra for Strata, and Illumination
• Hyperelliptic classes are rigid and extremal in genus two
• Balanced complexes and effective divisors on ${\overline{M}}_{0,n}$
• Cones of Heegner divisors