Algebraic Degeneracy of Non-Archimedean Analytic Maps

Details Algebraic Degeneracy of Non-Archimedean Analytic Maps Algebraic Degeneracy of Non-Archimedean Analytic Maps

2007-08-02

arxiv.org/abs/0708.0401v1

Indag. Math. 19 (2008), 481-492

Mathematics

Algebraic Geometry

10 pages

Scientific paper

10.1016/S0019-3577(08)80014-6

We prove non-Archimedean analogs of results of Noguchi and Winkelmann showing
algebraic degeneracy of rigid analytic maps to projective varieties omitting an
effective divisor with sufficiently many irreducible components relative to the
rank of the group they generate in the Neron-Severi group of the variety.

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