An interpolation theorem in toric varieties

Martin Weimann (1, 2, 3)

1 LaBAG - Laboratoire Bordelais d'Analyse et Géométrie
2 LMNO - Laboratoire de Mathématiques Nicolas Oresme
3 UNICAEN - Université de Caen Normandie

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.

Domaines: Variables complexes [math.CV]; Géométrie algébrique [math.AG]

Martin Weimann. An interpolation theorem in toric varieties. Annales de l'Institut Fourier, 2008, 58 (4). ⟨hal-00136120⟩