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- Title
PICARD GROUP OF HYPERSURFACES IN TORIC 3-FOLDS.
- Authors
BRUZZO, UGO; GRASSI, ANTONELLA
- 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.
- Subjects
PICARD groups; HYPERSURFACES; TORUS; MANIFOLDS (Mathematics); PROJECTIVE geometry; ALGEBRAIC varieties; MATHEMATICAL analysis
- Publication
International Journal of Mathematics, 2012, Vol 23, Issue 2, p1250028-1
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X12500280