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arxiv: 0708.0401 · v1 · pith:XTEOHTSWnew · submitted 2007-08-02 · 🧮 math.AG · math.CV· math.NT

Algebraic Degeneracy of Non-Archimedean Analytic Maps

classification 🧮 math.AG math.CVmath.NT
keywords algebraicanalyticdegeneracygroupmapsnon-archimedeananalogscomponents
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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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