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arXiv · 1511.09105

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

Justin Sawon
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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.

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Justin Sawon. 2021-12-23. A bound on the second Betti number of hyperkähler manifolds of complex dimension six. https://arxiv.org/abs/1511.09105

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