Fano manifolds and blow-ups of low-dimensional subvarieties
Algebraic Geometry
2007-09-21 v1
Abstract
We study Fano manifolds of pseudoindex greater than one and dimension greater than five, which are blow-ups of smooth varieties along smooth centers of dimension equal to the pseudoindex of the manifold. We obtain a classification of the possible cones of curves of these manifolds, and we prove that there is only one such manifold without a fiber type elementary contraction.
Keywords
Cite
@article{arxiv.0709.3200,
title = {Fano manifolds and blow-ups of low-dimensional subvarieties},
author = {Elena Chierici and Gianluca Occhetta},
journal= {arXiv preprint arXiv:0709.3200},
year = {2007}
}