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

preprint2016arXivOpen access

Abstract

We compute many new classes of effective divisors in M‾g,n\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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