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

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作者
Justin Sawon
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[1] University of North Carolina,Department of Mathematics
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Hyperkähler manifolds; Cohomology; Betti numbers; 53C26;
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摘要
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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页码:1196 / 1212
页数:16
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