2011/07/17 by Simone Diverio, Diverio, Simone, Andrea Ferretti +1
Mathematics · #14E30 (Primary) 14G05 #14J32 #32Q45 (Secondary) #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV #msc:14E30 #msc:14G05 #msc:14J32 #msc:32Q45
paper · pdf · doi:10.48550/arxiv.1107.3337
13 pages, 1 figure, final version. To appear on Comment. Math. Helv
arxiv created 2012/03/14 · arxiv updated 2017/04/04
Let X be a Calabi-Yau threefold. We show that if there exists on X a non-zero nef non-ample divisor then X contains a rational curve, provided its second Betti number is greater than 4.