Seminari di Geometria Iperbolica Complessa
La referenza principale per i seminari `e l’articolo
• M. Brunella,Courbes enti`eres dans les surfaces alg´ebriques complexes (d’a-pr`es McQuillan, Demailly-El Goul,...), S´eminaire Bourbaki, Vol. 2000/01. Ast´erisque No. 282 (2002), Exp. No. 881, vii, 39-61.
da cui `e possibile estrarre vari temi di seminario, da completare e corredare con esempi e approfondimenti.
Come ulteriore consultazione generale e fonte di bibliografia, si segnalano • Y.-T. Siu e S. Yeung, Hyperbolicity of the complement of a generic smooth
curve of high degree in the complex projective plane, Invent. Math. 124 (1996), no. 1-3, 573-618.
• J.-P. Demailly, Algebraic criteria for Kobayashi hyperbolic projective va-rieties and jet differentials, Lecture Notes (1995)
Al fine di reperire esempi e trattazioni di casi concreti, possono essere utili i lavori di Zaidenberg:
• M. Zaidenberg, Stability of hyperbolic embeddedness and construction of examples, Math. USSR Sbornik 63 (1989), 351-361.
• M. Zaidenberg, The complement of a generic hypersurface of degree 2n in CPn is not hyperbolic, Siberian Math. J. 28 (1987), 425-432.
• M. Zaidenberg, Hyperbolicity in projective spaces, International Sympo-sium on Holomorphic mappings, Diophantine Geometry and Related to-pics, R.I.M.S. Lecture Notes ser. 819, R.I.M.S. Kyoto University (1993), 136-156.
• G. Dethloff e M. Zaidenberg, Examples of plane curves of low degrees wi-th hyperbolic and C-hyperbolic complements, Geometric complex analysis (Hayama, 1995), 147-161, World Sci. Publ., River Edge, NJ, 1996. • M. Zaidenberg, Picard’s theorems and hyperbolicity, Siberian Math. J. 24
(1983), no. 6, 858-867.
Infine, come testi di carattere generale sulla geometria iperbolica complessa, si segnalano:
• Kobayashi, S. Hyperbolic complex spaces, Grundlehren der Mathemati-schen Wissenschaften [Fundamental Principles of Mathematical Sciences], 318. Springer-Verlag, Berlin, (1998)
• Kobayashi, S. Hyperbolic manifolds and holomorphic mappings, Marcel Dekker, New York (1970).
• Lang, S. Introduction to complex hyperbolic spaces, Springer-Verlag, New York (1987).
