On unicity problems of meromorphic mappings of Cn into PN(C) and the ramification of the Gauss maps of complete minimal surfaces
type: Dataset
description: In 1975, H. Fujimoto generalized Nevanlinna’s known results for meromorphic fonctions to the case of meromorphic mappings of Cn into PN(C). He proved that for two linearly nondegenerate meromorphic mappings f and g of C into PN(C). if they have the saine inverse images counted with multiplicities for 3N + 2 hyperplanes in general position in PN(C) then f = g. After that, this problem has been studied intensively by a number of mathematicans as H. Fujimoto, W. Stoll, L. Smiley, M. Ru, G. Dethloff - T. V. Tan, D. D. Thai - S. D. Quang, Chen-Yan and so on. Parallel to the development of Nevanlinna theory, the value distribution theory of the Gauss map of minimal surfaces immersed in Rm vas studied by many mathematicans as R. Osserman, S.S. Chern, F. Xavier, H. Fujimoto, S. J. Kao, M. Ru and many other mathematicans. In this thesis, we continuous studing some problems on these directions. The main goals of the thesis are followings. • Unicity theorems with truncated multiplicities of meromorphic mappings of Cn into PN(C) sharing 2N + 2 fixed hyperplanes.• Unicity theorems with truncated multiplicities of meromorphic mappings of Cn into PN(C) for moving targets, and a small set of identity.
landing page: https://theses.hal.science/tel-00871320
identifier: NNT: 2013BRES0006
keyword: gauss-map
keyword: infoeu-reposemanticsdoctoralthesis
keyword: mathmath-gmmathematics-mathgeneral-mathematics-mathgm
keyword: meromorphic-mappng
keyword: minimal-surface
keyword: ramification
keyword: second-main-theorem
keyword: theorie-de-la-distribution-des-valeurs
keyword: theses
keyword: unicity-theorem
keyword: value-distribution-theory
issued: 2026-05-09T10:35:40.155186
modified: 2026-05-09T10:35:40.155191
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

On unicity problems of meromorphic mappings of Cn into PN(C) and the ramification of the Gauss maps of complete minimal surfaces
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format: HTML
access URL: https://theses.hal.science/tel-00871320
issued: 2026-05-09T10:35:40.163561
modified: 2026-05-09T10:35:40.140100