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20042024
most citedA Second Main Theorem for Moving Hypersurface Targets

25 citations · 48 across the 8 of their papers we have counts for

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math.CV2015

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…

math.CV2009

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…

math.CV2009

A Uniqueness Theorem for Meromorphic Maps with Moving Hypersurfaces

Gerd Dethloff, Tan Van Tran

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 (weak…

math.CV2007

Uniqueness Theorems for Meromorphic Mappings with Few Targets

Gerd Dethloff, Tran Van Tan

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 ho…

math.CV2007★ 25 cited

A Second Main Theorem for Moving Hypersurface Targets

Gerd Dethloff, Tran Van Tan

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 su…

math.CV2004

Uniqueness Problem for Meromorphic Mappings with Truncated Multiplicities and Few Targets

Gerd Dethloff, Tran Van Tan

In this paper, using techniques of value distribution theory, we give a uniqueness theorem for meromorphic mappings of C^m into P^n with truncated multiplicities and "few" targets.…