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Kähler Geometry on Hurwitz Spaces

Kähler Geometry on Hurwitz Spaces

The classical Hurwitz space \mathcal{H}^{n,b} is a fine moduli space for simple branched coverings of the Riemann sphere \mathbb{P}^1 by compact hyperbolic Riemann surfaces. In the article we study a generalized Weil-Petersson metric on the Hurwitz space, which was introduced in [R. Axelsson et al., Manuscr. Math. 147, No. 1–2, …