On Holomorphic Curves in Semi-Abelian Varieties

Details On Holomorphic Curves in Semi-Abelian Varieties On Holomorphic Curves in Semi-Abelian Varieties

1996-04-10

arxiv.org/abs/math/9604223v1

Mathematics

Number Theory

Scientific paper

The algebraic degeneracy of holomorphic curves in a semi-Abelian variety omitting a divisor is proved (Lang's conjecture generalized to semi-Abelian varieties) by making use of the {\it jet-projection method} and the logarithmic Wronskian jet differential after Siu-Yeung. We also prove a structure theorem for the locus which contains all possible image of non-constant entire holomorphic curves in a semi-Abelian variety omitting a divisor.

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