An interpolation theorem in toric varieties

Weimann, Martin

Annales de l'Institut Fourier, Tome 58 (2008) no. 4, pp. 1371-1381.

Dans la lignée d’un théorème de Wood, on donne des conditions nécessaires et suffisantes pour qu’une famille de germes d’hypersurfaces analytiques d’une variété torique projective lisse $X$ s’interpole par une hypersurface algébrique de classe de Picard donnée.

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 $X$.

Classification : 14M25, 32B10
Keywords: Toric varieties, interpolation, trace, residues, resultants
Mot clés : variétés toriques, interpolation, trace, résidus, résultants

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