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Matematicheskie Zametki, 2008, Volume 83, Issue 1, Pages 61–68
DOI: https://doi.org/10.4213/mzm3767 (Mi mzm3767) 		 
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
Full-text PDF (498 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm3767
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
English version:
Mathematical Notes, 2008, Volume 83, Issue 1, Pages 57–64
DOI: https://doi.org/10.1134/S0001434608010070
Bibliographic databases:
Document Type: Article
UDC: 517.956.32
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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