PICARD GROUP OF HYPERSURFACES IN TORIC 3-FOLDS-Reference-Cited by-同舟云学术

PICARD GROUP OF HYPERSURFACES IN TORIC 3-FOLDS

Published:2012-02 Issue:02 Volume:23 Page:1250028
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

BRUZZO UGO¹²,GRASSI ANTONELLA¹

Affiliation:

1. Department of Mathematics, University of Pennsylvania, David Rittenhouse Laboratory, 209 S 33rd Street, Philadelphia, PA 19104, USA

2. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Trieste, Italy

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X12500280

Reference24 articles.

1. On the Hodge structure of projective hypersurfaces in toric varieties

2. Cambridge Studies in Advanced Mathematics;Carlson J.,2003

3. Picard numbers of surfaces in 3-dimensional weighted projective spaces

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