English

Connections and the Second Main Theorem for Holomorphic Curves

Complex Variables 2011-03-31 v1 Algebraic Geometry

Abstract

By means of CC^\infty-connections we will prove a general second main theorem and some special ones for holomorphic curves. The method gives a geometric proof of H. Cartan's second main theorem in 1933. By applying the same method, we will prove some second main theorems in the case of the product space (\pone)2(\pone)^2 of the Riemann sphere.

Keywords

Cite

@article{arxiv.1103.5819,
  title  = {Connections and the Second Main Theorem for Holomorphic Curves},
  author = {Junjiro Noguchi},
  journal= {arXiv preprint arXiv:1103.5819},
  year   = {2011}
}

Comments

21 pages

R2 v1 2026-06-21T17:46:45.200Z