On Cartan's second main theorems for holomorphic curves on M-punctured complex planes

2017/03/16 by Van Thin, Nguyen
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1703.05514

Abstract

In this paper, we give some extension of fundamental theorems in Nevanlinna - Cartan theory for holomorphic curve on M punctured complex planes. As an application, we establish a result for uniqueness problem of holomorphic curve by inverse image of a hypersurface, it is improvement of some results before [8, 14] in this trend.

Related

• On Nevanlinna - Cartan theory for holomorphic curves with Tsuji characteristics
• A second main theorem for holomorphic curve intersecting hypersurfaces
• H. Cartan's theory for Riemann surfaces
• On McQuillan's "tautological inequality" and the Weyl-Ahlfors theory of associated curves
• An explicit estimate on multiplicity truncation in the second main theorem for holomorphic curves encountering hypersurfaces in general position in projective space