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arxiv: math/0612357 · v1 · submitted 2006-12-13 · 🧮 math.CV · math.AG

An interpolation theorem in toric varieties

classification 🧮 math.CV math.AG
keywords theoremtoricalgebraicanalyticclassconditionsfamilyfixed
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In the spirit of a theorem of Wood, we give necessary and sufficient conditions for a family of germs of analytic hypersurfaces in a smooth projective toric variety X to be interpolated by an algebraic hypersurface with a fixed class in the Picard group of X.

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