Topics in Nevanlinna theory / Serge Lang, William Cherry
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1433Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1990ISBN: 9783540471462.ISSN: 1617-9692.Sujet MSC : 30D35, Entire and meromorphic functions of one complex variable, and related topics, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory32A22, Holomorphic functions of several complex variables, Nevanlinna theory; growth estimates; other inequalities
32H30, Holomorphic mappings and correspondences, Value distribution theory in higher dimensionsEn-ligne : Springerlink | Zentralblatt | MathScinet
In Chapter I of these lecture notes the classical value distribution theory of R. Nevanlinna is presented, together with new investigations on the error term in the main inequality. According to the appendix of Zhuan Ye the best possible estimate is given. The Carlson-Griffiths generalization to equidimensional holomorphic maps is derived in Chapter II, the generalizations to the case of covering spaces can be found in the second part. The motivation for these lecture notes comes from Vojta’s analogy between Nevanlinna theory and the theory of heights in number theory. (Zentralblatt)
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