Connections and the Second Main Theorem for Holomorphic Curves

Details Connections and the Second Main Theorem for Holomorphic Curves Connections and the Second Main Theorem for Holomorphic Curves

2011-03-30

arxiv.org/abs/1103.5819v1

Mathematics

Complex Variables

21 pages

Scientific paper

By means of $C^\infty$-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 $(\pone)^2$ of the Riemann sphere.

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