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arXiv 2010-10-11 0 views

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

Watanabe, Kiwamu

Original · EN

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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