The moduli space of Riemann surfaces is Kähler hyperbolic
Annals of mathematics, Tome 151 (2000) no. 1.

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@article{AM_2000_151_1_a10,
     author = {Curtis T. McMullen},
     title = {The moduli space of {Riemann} surfaces is {K\"ahler} hyperbolic},
     journal = {Annals of mathematics},
     publisher = {mathdoc},
     volume = {151},
     number = {1},
     year = {2000},
     url = {http://geodesic.mathdoc.fr/item/AM_2000_151_1_a10/}
}
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Curtis T. McMullen. The moduli space of Riemann surfaces is Kähler hyperbolic. Annals of mathematics, Tome 151 (2000) no. 1. http://geodesic.mathdoc.fr/item/AM_2000_151_1_a10/