Fano n-folds with nef tangent bundle and Picard number greater than n-5

2015/05/12 by Akihiro Kanemitsu, Kanemitsu, Akihiro
Mathematics · #14J40 #14J45 #14M17 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J40 #msc:14J45 #msc:14M17

paper · pdf · doi:10.48550/arxiv.1505.02952

14 pages

arxiv created 2015/05/12 · arxiv updated 2015/05/13

Abstract

We prove that Fano n-folds with nef tangent bundle and Picard number greater than n-5 are rational homogeneous manifolds.

Related

• Fano 5-folds with nef tangent bundles and Picard numbers greater than one
• Fano 5-folds with nef tangent bundles
• Extremal rays and nefness of tangent bundles
• Fano manifolds of coindex three admitting nef tangent bundle
• On a sufficient condition for a Fano manifold to be covered by rational N-folds