Processing math: 100%

Connections and the Second Main Theorem for Holomorphic Curves

J. Math. Sci. Univ. Tokyo
Vol. 18 (2011), No. 2, Page 155--180.

Noguchi, Junjiro
Connections and the Second Main Theorem for Holomorphic Curves
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]


Abstract:
By means of C-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 of the Riemann sphere.

Mathematics Subject Classification (2010): Primary 32H30, Scondary 30D35.
Received: 2011-02-03