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arXiv · 1611.08008

Effective divisors in $\overline{\mathcal{M}}_{g,n}$ from abelian differentials

Scott Mullane
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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 and efficiently reproduce many known results obtained by alternate methods. Our method utilises maps between moduli spaces and the degeneration of abelian differentials.

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Scott Mullane. 2016-11-23. Effective divisors in $\overline{\mathcal{M}}_{g,n}$ from abelian differentials. https://arxiv.org/abs/1611.08008

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