Boundness of b₂ for hyperkähler manifolds with vanishing odd-Betti numbers

2015/11/09 by Nikon Kurnosov, Kurnosov, Nikon
Mathematics · #53C26 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:53C26

paper · pdf · doi:10.48550/arxiv.1511.02838

10 pages

arxiv created 2015/11/09 · arxiv updated 2015/11/10

Abstract

We prove that b₂ is bounded for hyperkähler manifolds with vanishing odd-Betti numbers. The explicit upper boundary is conjectured. Following the method described by Sawon we prove that b₂ is bounded in dimension eight and ten in the case of vanishing odd-Betti numbers by 24 and 25 respectively.

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