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Failure of the integral Hodge conjecture for threefolds of Kodaira dimension zero

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 نشر من قبل Olivier Benoist
 تاريخ النشر 2018
  مجال البحث
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We prove that the product of an Enriques surface and a very general curve of genus at least 1 does not satisfy the integral Hodge conjecture for 1-cycles. This provides the first examples of smooth projective complex threefolds of Kodaira dimension zero for which the integral Hodge conjecture fails, and the first examples of non-algebraic torsion cohomology classes of degree 4 on smooth projective complex threefolds.



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