Fundamental divisors on Fano varieties of index n-3
Algebraic Geometry
2012-01-12 v2
Abstract
Let X be a Fano manifold of dimension n and index n-3. Kawamata proved the non vanishing of the global sections of the fundamental divisor in the case n=4. Moreover he proved that if Y is a general element of the fundamental system then Y has at most canonical singularities. We prove a generalization of this result in arbitrary dimension.
Keywords
Cite
@article{arxiv.1009.0812,
title = {Fundamental divisors on Fano varieties of index n-3},
author = {Enrica Floris},
journal= {arXiv preprint arXiv:1009.0812},
year = {2012}
}