PICARD GROUP OF HYPERSURFACES IN TORIC 3-FOLDS

被引：18
|
作者：
Bruzzo, Ugo [1 ,2 ]
Grassi, Antonella [1 ]
机构：
[1] Univ Penn, Dept Math, David Rittenhouse Lab, Philadelphia, PA 19104 USA
[2] Ist Nazl Fis Nucl, Sez Trieste, Trieste, Italy
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2012年 / 23卷 / 02期
关键词：
Picard number; hypersurfaces; simplicial toric varieties; WEIGHTED PROJECTIVE SPACES; LEFSCHETZ THEOREM; VARIETIES; SURFACES; NUMBERS; TORELLI;
D O I：
10.1142/S0129167X12500280
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：14
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