A bound on the second Betti number of hyperkähler manifolds of complex dimension six

2015/11/29 by Sawon, Justin
#53C26 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1511.09105

Abstract

Let M be an irreducible compact hyperkähler manifold of complex dimension six. Under an assumption on the Looijenga-Lunts-Verbitsky decomposition of the cohomology of M, we prove that the second Betti number of M is at most 23.

Related

• The second Betti number of hyperkähler manifolds
• Topological bounds on hyperkähler manifolds
• Second Chern class and Fujiki constants of hyperkähler manifolds
• Betti numbers of nearly G₂ and nearly Kähler manifolds with Weyl curvature bounds
• Almost complex manifolds with total Betti number three