Geodesic
Finsler metrics and Kobayashi hyperbolicity of the moduli spaces of canonically polarized manifolds
Wing-Keung To1 ; Sai-Kee Yeung2
1 Department of Mathematics, National University of Singapore, Singapore
2 Department of Mathematics Purdue University, West Lafayette, IN
Annals of mathematics, Tome 181 (2015) no. 2, pp. 547-586.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We show that the base complex manifold of an effectively parametrized holomorphic family of compact canonically polarized complex manifolds admits a smooth invariant Finsler metric whose holomorphic sectional curvature is bounded above by a negative constant. As a consequence, we show that such a base manifold is Kobayashi hyperbolic.
DOI : 10.4007/annals.2015.181.2.3

Wing-Keung To 1 ; Sai-Kee Yeung 2

1 Department of Mathematics, National University of Singapore, Singapore
2 Department of Mathematics Purdue University, West Lafayette, IN 
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Wing-Keung To; Sai-Kee Yeung. Finsler metrics and Kobayashi hyperbolicity of the moduli spaces of canonically polarized manifolds. Annals of mathematics, Tome 181 (2015) no. 2, pp. 547-586. doi : 10.4007/annals.2015.181.2.3. http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.181.2.3/

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