On Holomorphic Curves in Semi-abelian Varieties

نویسندگان

  • Junjiro Noguchi
  • JUNJIRO NOGUCHI
چکیده

The algebraic degeneracy of holomorphic curves in a semiAbelian variety omitting a divisor is proved (Lang’s conjecture generalized to semi-Abelian varieties) by making use of the 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 semiAbelian variety omitting a divisor.

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تاریخ انتشار 1998