English

Second main theorem for holomorphic curves into algebraic varieties intersecting moving hypersurfaces targets

Complex Variables 2021-09-07 v2

Abstract

Since the great work on holomorphic curves into algebraic varieties intersecting hypersurfaces in general position established by Ru in 2009, recently there has been some developments on the second main theorem into algebraic varieties intersecting moving hypersurfaces targets. The main purpose of this paper is to give some interesting improvements of Ru's second main theorem for moving hypersurfaces targets located in subgeneral position with index.

Keywords

Cite

@article{arxiv.1908.05844,
  title  = {Second main theorem for holomorphic curves into algebraic varieties intersecting moving hypersurfaces targets},
  author = {Libing Xie and Tingbin Cao},
  journal= {arXiv preprint arXiv:1908.05844},
  year   = {2021}
}

Comments

22 pages. Unfortunately, there is a hard to find but serious gap in first version. This is the second version which was changed very big comparing with the original version

R2 v1 2026-06-23T10:48:52.458Z