Effective Divisors in M¯g,n from Abelian Differentials

Scott Mullane

doi:10.1307/mmj/1542337465

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Home > Journals > Michigan Math. J. > Volume 67 > Issue 4 > Article

November 2018 Effective Divisors in

\overline{\mathcal{M}}_{g,n}

from Abelian Differentials

Scott Mullane

Michigan Math. J. 67(4): 839-889 (November 2018). DOI: 10.1307/mmj/1542337465

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Abstract

We compute many new classes of effective divisors in $\overline {\mathcal {M}}_{g,n}$ coming from the strata of Abelian differentials. Our method utilizes maps between moduli spaces and the degeneration of Abelian differentials.

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Scott Mullane. "Effective Divisors in $\overline{\mathcal{M}}_{g,n}$ from Abelian Differentials." Michigan Math. J. 67 (4) 839 - 889, November 2018. https://doi.org/10.1307/mmj/1542337465