Noether-Lefschetz Theory and Néron-Severi Group

Details Noether-Lefschetz Theory and Néron-Severi Group Noether-Lefschetz Theory and Néron-Severi Group

2009-04-29

arxiv.org/abs/0904.4659v1

Mathematics

Algebraic Geometry

8 pages

Scientific paper

10.1142/S0129167X11007483

Let $Z$ be a closed subscheme of a smooth complex projective complete
intersection variety $Y\subseteq \Ps^N$, with $dim Y=2r+1\geq 3$. We describe
the N\'eron-Severi group $NS_r(X)$ of a general smooth hypersurface $X\subset
Y$ of sufficiently large degree containing $Z$.

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