An interpolation theorem in toric varieties
[Un théorème d’interpolation dans les variétés toriques]
Weimann, Martin
Annales de l'Institut Fourier, Tome 58 (2008), p. 1371-1381 / Harvested from Numdam
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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.

Publié le : 2008-01-01
DOI : https://doi.org/10.5802/aif.2387
Classification:  14M25,  32B10
Mots clés: variétés toriques, interpolation, trace, résidus, résultants 
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Weimann, Martin. An interpolation theorem in toric varieties. Annales de l'Institut Fourier, Tome 58 (2008) pp. 1371-1381. doi : 10.5802/aif.2387. http://gdmltest.u-ga.fr/item/AIF_2008__58_4_1371_0/

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