A bound of lengths of chains of minimal rational curves on Fano manifolds of Picard number 1

@article{Watanabe2010ABO,
title={A bound of lengths of chains of minimal rational curves on Fano manifolds of Picard number 1},
author={K. Watanabe},
journal={Journal of Algebra},
year={2010},
volume={337},
pages={224-232}
}

Abstract In this paper, we investigate the minimal length of chains of minimal rational curves needed to join two general points on a Fano manifold of Picard number 1 under mild assumptions. In particular, we give a sharp bound of the length by a fundamental argument. As an application, we compute the length for Fano manifolds of dimension ⩽7.