Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Dethloff, Gerd"'
Autor:
Dethloff, Gerd, Van Tan, Tran
In [Ann. of Math. 169 (2009)], Min Ru proved a second main theorem for algebraically nondegenerate holomorphic curves in complex projective varieties intersecting fixed hypersurface targets. In this paper, by introducing a new proof method for the ca
Externí odkaz:
http://arxiv.org/abs/1503.08801
In this article, we study the ramification of the Gauss map of complete minimal surfaces in R^m on annular ends. This work is a continuation of previous work of Dethloff-Ha. We thus give an improvement of the results on annular ends of complete minim
Externí odkaz:
http://arxiv.org/abs/1411.2730
Autor:
Dethloff, Gerd, Ha, Pham Hoang
Publikováno v:
Annales Fac. Sci. Toulouse 23, 829-846 (2014)
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 Fujimoto and Ru for (the whole) complete minimal surfaces, thus we sh
Externí odkaz:
http://arxiv.org/abs/1304.7065
Publikováno v:
Nagoya Math. J. 217, 23-59 (2015)
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 satisfy only some very weak conditions with respect to moving hypersurfaces
Externí odkaz:
http://arxiv.org/abs/1301.0687
Publikováno v:
J. Math. Anal. Appl. 411, 675-683 (2014)
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 family.
Comment: Final version. Title and abstract have been slightl
Comment: Final version. Title and abstract have been slightl
Externí odkaz:
http://arxiv.org/abs/1211.4160
Publikováno v:
Interntl. J. Math.22, 863-885 (2011)
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's theorem to the case of curves in a complex projective variety inter
Externí odkaz:
http://arxiv.org/abs/0911.2562
Autor:
Dethloff, Gerd, Van Tran, Tan
Publikováno v:
Publ. Math. Debrecen 78, 347-357 (2011)
In this paper, we establish a uniqueness theorem for algebraically nondegenerate meromorphic maps of C^m into C P^n and slowly moving hypersurfaces Q_j in C P^n, j=1,...,q in (weakly) general position, where q depends effectively on n and on the degr
Externí odkaz:
http://arxiv.org/abs/0902.0280
Autor:
Dethloff, Gerd, Van Tan, Tran
Publikováno v:
Bull. Sci. Math. 133, 501-514 (2009)
The purpose of this article is to show uniqueness theorems for meromorphic mappings of C^m to CP^n with few hyperplanes H_j, j=1,...,q. It is well known that uniqueness theorems hold for q \geq 3n+2. In this paper we show that for every nonnegative i
Externí odkaz:
http://arxiv.org/abs/0711.1720
Autor:
Dethloff, Gerd, Van Tan, Tran
Publikováno v:
Houston J. Math. 37, 79-111 (2011)
In 1979, B. Shiffman conjectured that if f is an algebraically nondegenerate holomorphic map of C into P^n and D_1,...,D_q are hypersurfaces in P^n in general position, then the sum of the defects is at most n+1. This conjecture was proved by M. Ru i
Externí odkaz:
http://arxiv.org/abs/math/0703572
Autor:
Dethloff, Gerd, Lu, Steven
Publikováno v:
Ann. Inst. Fourier 57, 1575-1610 (2007)
In 1981 J.Noguchi proved that in a logarithmic algebraic manifold, having logarithmic irregularity strictly bigger than its dimension, any entire curve is algebraically degenerate. In the present paper we are interested in the case of manifolds havin
Externí odkaz:
http://arxiv.org/abs/math/0406287