We show that the usual sufficient criterion for a very general hypersurface in a smooth projective manifold to have the same Picard number as the ambient variety can be generalized to quasi-smooth hypersurfaces in complete simplicial toric varieties. This sufficient condition always holds for very general K3 surfaces embedded in Fano toric 3-folds. © 2012 World Scientific Publishing Company.
Bruzzo, U., Grassi, A. (2012). Picard group of hypersurfaces in toric 3-folds. INTERNATIONAL JOURNAL OF MATHEMATICS, 23(2), 1-14 [10.1142/S0129167X12500280].
Picard group of hypersurfaces in toric 3-folds
Grassi, Antonella
2012
Abstract
We show that the usual sufficient criterion for a very general hypersurface in a smooth projective manifold to have the same Picard number as the ambient variety can be generalized to quasi-smooth hypersurfaces in complete simplicial toric varieties. This sufficient condition always holds for very general K3 surfaces embedded in Fano toric 3-folds. © 2012 World Scientific Publishing Company.File in questo prodotto:
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