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This article is cited in 3 scientific papers (total in 3 papers)
Limit mixed Hodge structures of hyperkähler manifolds
Andrey Soldatenkov Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099 Berlin
Abstract:
This note is inspired by the work of Deligne. We study limit mixed Hodge structures of degenerating families of compact hyperkähler manifolds. We show that when the monodromy action on $H^2$ has maximal index of unipotency, the limit mixed Hodge structures on all cohomology groups are of Hodge–Tate type.
Key words and phrases:
hodge structure, limit mixed Hodge structure, hyperkähler manifold.
Citation:
Andrey Soldatenkov, “Limit mixed Hodge structures of hyperkähler manifolds”, Mosc. Math. J., 20:2 (2020), 423–436
Linking options:
https://www.mathnet.ru/eng/mmj771 https://www.mathnet.ru/eng/mmj/v20/i2/p423
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Abstract page: | 123 | References: | 27 |
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