25 citations · 57 across the 14 of their papers we have counts for
12 papers · 1 filter
Holomorphic curves into algebraic varieties intersecting moving hypersurface targets
Gerd Dethloff, Tran Van Tan
In [Ann. of Math. 169 (2009)], Min Ru proved a second main theorem for algebraically nondegenerate holomorphic curves in complex projective varieties intersecting fixed hypersurfac…
Ramification of the Gauss Map of Complete Minimal Surfaces in R^3 and R^4 on Annular Ends
Gerd Dethloff, Pham Hoang Ha
In this article, we study the ramification of the Gauss map of complete minimal surfaces in R^3 and R^4 on annular ends. We obtain results which are similar to the ones obtained by…
Normal Families of Meromorphic Mappings of Several Complex Variables for Moving Hypersurfaces in a Complex Projective Space
Gerd Dethloff, Thai Do Duc, Trang Pham Nguyen Thu
The main aim of this article is to give some sufficient conditions for a family of meromorphic mappings on a domain D in C^n into P^N(C) to be meromorphically normal if they satisf…
Normal Criteria for Families of Meromorphic Functions
Gerd Dethloff, Tran Van Tan, Nguyen Van Thin
By using Nevanlinna theory, we prove some normality criteria for a family of meromorphic functions under a condition on differential polynomials generated by the members of the fam…
A Uniqueness Theorem for Meromorphic Mappings with Two Families of Hyperplanes
G. Dethloff, Tan Tran Van, Si Duc Quang
In this paper, we extend the uniqueness theorem for meromorphic mappings to the case where the family of hyperplanes depends on the meromorphic mapping and where the meromorphic ma…
An Extension of the Cartan-Nochka Second Main Theorem for Hypersurfaces
Gerd Dethloff, Tran Van Tan, Do Duc Thai
In 1983, Nochka proved a conjecture of Cartan on defects of holomorphic curves in CP^n relative to a possibly degenerate set of hyperplanes. In this paper, we generalize the Nochka…