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arXiv · 1205.4528

Noether-Lefschetz Theory with base locus

Vincenzo Di Gennaro·Davide Franco
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Abstract

Let $Z$ be a closed subscheme of a smooth complex projective variety $Y\subseteq \Ps^N$, with $\dim\,Y=2r+1\geq 3$. We describe the intermediate N\'eron-Severi group (i.e. the image of the cycle map $A_r(X)\to H_{2r}(X;\mathbb{Z})$) of a general smooth hypersurface $X\subset Y$ of sufficiently large degree containing $Z$.

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Vincenzo Di Gennaro, Davide Franco. 2012-05-21. Noether-Lefschetz Theory with base locus. https://arxiv.org/abs/1205.4528

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