We give a classification of pairs $(X,L)$ consisting of a smooth complex $n$-dimensional projective variety $X$ and an ample line bundle $L$ on $X$ such that $Z in |L|$ is a Fano manifold with $-K_Z = (dim Z - 3) H_Z$ for an ample and spanned line bundle $H_Z$ on $Z$.
Fano manifolds of coindex four as ample sections
NOVELLI, CARLA
2006-01-01
Abstract
We give a classification of pairs $(X,L)$ consisting of a smooth complex $n$-dimensional projective variety $X$ and an ample line bundle $L$ on $X$ such that $Z in |L|$ is a Fano manifold with $-K_Z = (dim Z - 3) H_Z$ for an ample and spanned line bundle $H_Z$ on $Z$.
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