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This article is cited in 4 scientific papers (total in 4 papers)
A Remark on the Nonrationality Problem for Generic Cubic Fourfolds
Vik. S. Kulikov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
It is proved that the nonrationality of a generic cubic fourfold follows from a conjecture on the nondecomposability in the direct sum of nontrivial polarized Hodge structures of the polarized Hodge structure on transcendental cycles on a projective surface.
Keywords:
nonrationality problem, generic cubic fourfold, nondecomposability conjecture, polarized Hodge structure, projective surface.
Received: 31.10.2006
Citation:
Vik. S. Kulikov, “A Remark on the Nonrationality Problem for Generic Cubic Fourfolds”, Mat. Zametki, 83:1 (2008), 61–68; Math. Notes, 83:1 (2008), 57–64
Linking options:
https://www.mathnet.ru/eng/mzm3767https://doi.org/10.4213/mzm3767 https://www.mathnet.ru/eng/mzm/v83/i1/p61
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Abstract page: | 433 | Full-text PDF : | 187 | References: | 47 | First page: | 13 |
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