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arXiv:1010.2005 [math.AG]AbstractReferencesReviewsResources

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

Kiwamu Watanabe

Published 2010-10-11, updated 2011-04-25Version 3

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.

Comments: 10 pages. Correct minor erros. Improved exposition
Categories: math.AG
Subjects: 14E30, 14J45, 14N99
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