AN EXTENSION OF THE CARTAN–NOCHKA SECOND MAIN THEOREM FOR HYPERSURFACES-Reference-Cited by-同舟云学术

AN EXTENSION OF THE CARTAN–NOCHKA SECOND MAIN THEOREM FOR HYPERSURFACES

Published:2011-06 Issue:06 Volume:22 Page:863-885
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

DETHLOFF GERD¹²,TAN TRAN VAN³,THAI DO DUC³

Affiliation:

1. Université Européenne de Bretagne, France

2. Université de Brest, Laboratoire de Mathématiques, UMR CNRS 6205, 6, avenue Le Gorgeu, BP 452, 29275 Brest Cedex, France

3. Department of Mathematics, Hanoi National University of Education, 136-Xuan Thuy Street, Cau Giay, Hanoi, Vietnam

Abstract

In 1983, Nochka proved a conjecture of Cartan on defects of holomorphic curves in ℂPn relative to a possibly degenerate set of hyperplanes. In this paper, we generalize Nochka's theorem to the case of curves in a complex projective variety intersecting hypersurfaces in subgeneral position. Further work will be needed to determine the optimal notion of subgeneral position under which this result can hold, and to lower the effective truncation level which we achieved.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X11007070

Reference24 articles.

1. A Defect Relation for Equidimensional Holomorphic Mappings Between Algebraic Varieties

2. On a general Thue's equation

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