The Second Main Theorem for Holomorphic Curves into Semi-Abelian Varieties II

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We establish the second main theorem with the best truncation level one for an entire holomorphic curve $f:\C \to A$ into a semi-abelian variety $A$ and an arbitrary effective reduced divisor $D$ on $A$; the low truncation level is important for applications. We will actually prove this for the jet lifts of $f$. Finally we give some applications, including the solution of a problem posed by Mark Green.
37 pages, LaTeX. In this version the Main theorem has been generalized: Now D may be a subvariety of any codimension and need not be a divisor

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Complex Variables, Algebraic Geometry, 32H30

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http://salesiana.dossiersoluciones.com/handle/123456789/71325

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405492
 http://arxiv.org/abs/math/0405492

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arXiv