Holomorphic curves into algebraic varieties intersecting moving hypersurface targets
Complex Variables
2018-11-13 v3
Abstract
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 case of projective varieties, we generalize this result to moving hypersurface targets.
Keywords
Cite
@article{arxiv.1503.08801,
title = {Holomorphic curves into algebraic varieties intersecting moving hypersurface targets},
author = {Gerd Dethloff and Tran Van Tan},
journal= {arXiv preprint arXiv:1503.08801},
year = {2018}
}
Comments
26 pages. Improvement of the abstract and the introduction. Adding William Cherry in the acknowledgements who choose not to be an author of this work any more. Adding references of 3 articles (of Ji-Yan-Yu, Yan-Vu and Son-Tan-Thin) who used in the meantime the proof method introduced in this article