Generalized Mukai conjecture for special Fano varieties
Algebraic Geometry
2007-05-23 v1
Abstract
Let X be a Fano variety of dimension n, pseudoindex i_X and Picard number \rho_X. A generalization of a conjecture of Mukai says that \rho_X(i_X-1)\le n. We prove that the conjecture holds if: a) X has pseudoindex i_X \ge \frac{n+3}{3} and either has a fiber type extremal contraction or does not have small extremal contractions b) X has dimension five.
Cite
@article{arxiv.math/0309473,
title = {Generalized Mukai conjecture for special Fano varieties},
author = {Marco Andreatta and Elena Chierici and Gianluca Occhetta},
journal= {arXiv preprint arXiv:math/0309473},
year = {2007}
}
Comments
19 pages