Noether-Lefschetz Theory and Néron-Severi Group

Abstract

Let $Z$ be a closed subscheme of a smooth complex projective complete intersection variety $Y\subseteq \Ps^N$, with $dimY=2r+1\ge 3$. We describe the Néron-Severi group $N{S}_r(X)$ of a general smooth hypersurface $X\subset Y$ of sufficiently large degree containing $Z$.

8 pages

Cited by in corpus (1)

• Néron-Severi group of a general hypersurface