Fano 5-folds with nef tangent bundles and Picard numbers greater than one

We prove that smooth Fano 5-folds with nef tangent bundles and Picard numbers greater than one are rational homogeneous manifolds.

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Bibliographic Details
Published in:	Mathematische Zeitschrift Vol. 276; no. 1-2; pp. 39 - 49
Main Author:	Watanabe, Kiwamu
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-02-2014
Subjects:	Mathematics Mathematics and Statistics Primary 14J40 14J45 Homogeneous manifold 14M17 Fano manifold with nef tangent bundle
Online Access:	Get full text
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Description
Summary:	We prove that smooth Fano 5-folds with nef tangent bundles and Picard numbers greater than one are rational homogeneous manifolds.
ISSN:	0025-5874 1432-1823
DOI:	10.1007/s00209-013-1185-2