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arXiv · 1010.2005

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

Kiwamu Watanabe
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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. 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 < 8.

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Kiwamu Watanabe. 2011-04-25. A bound of lengths of chains of minimal rational curves on Fano manifolds of Picard number 1. https://arxiv.org/abs/1010.2005

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