The image in the moduli space of curves of strata of meromorphic and quadratic differentials

Andrei Bud

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arXiv · 2002.04321

The image in the moduli space of curves of strata of meromorphic and quadratic differentials

Andrei Bud

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Abstract

We compute the dimension of the image of the forgetful map from $Z$ to the moduli space of curves, where $Z$ is a connected component of the stratum of $k$-differentials with an assigned partition $\mu$, for the cases when $k=1$ with meromorphic partition and $k=2$ when the quadratic differentials have at worst simple poles.

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Andrei Bud. 2020-02-11. The image in the moduli space of curves of strata of meromorphic and quadratic differentials. https://arxiv.org/abs/2002.04321

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