Geodesic
Generalizations of Siegel’s and Picard’s theorems
Aaron Levin1
1 Centro di Ricerca Matematica Ennio De Giorgi<br/>Scuola Normale Superiore<br/>56100 Pisa<br/>Italy
Annals of mathematics, Tome 170 (2009) no. 2, pp. 609-655.

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

We prove new theorems that are higher-dimensional generalizations of the classical theorems of Siegel on integral points on affine curves and of Picard on holomorphic maps from $\mathbb{C}$ to affine curves. These include results on integral points over varying number fields of bounded degree and results on Kobayashi hyperbolicity. We give a number of new conjectures describing, from our point of view, how we expect Siegel’s and Picard’s theorems to optimally generalize to higher dimensions.
DOI : 10.4007/annals.2009.170.609

Aaron Levin 1

1 Centro di Ricerca Matematica Ennio De Giorgi<br/>Scuola Normale Superiore<br/>56100 Pisa<br/>Italy 
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Aaron Levin. Generalizations of Siegel’s and Picard’s theorems. Annals of mathematics, Tome 170 (2009) no. 2, pp. 609-655. doi : 10.4007/annals.2009.170.609. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.170.609/

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