Abstract
Abstract
We compute the dimension of the image of the map $$\pi _Z :Z \rightarrow {\mathcal {M}}_g$$
π
Z
:
Z
→
M
g
forgetting the markings, where Z is a connected component of the stratum $${\mathcal {H}}^k_g(\mu )$$
H
g
k
(
μ
)
of k-differentials with an assigned partition $$\mu $$
μ
, for the cases when $$k=1$$
k
=
1
with meromorphic partition and $$k=2$$
k
=
2
when the quadratic differentials have at worst simple poles.
Funder
Humboldt-Universität zu Berlin
Publisher
Springer Science and Business Media LLC
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