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THE INTEGRAL HODGE CONJECTURE FOR 3-FOLDS OF KODAIRA DIMENSION ZERO
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- Journal:
- Journal of the Institute of Mathematics of Jussieu / Volume 20 / Issue 5 / September 2021
- Published online by Cambridge University Press:
- 18 February 2020, pp. 1697-1717
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- September 2021
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We prove the integral Hodge conjecture for all 3-folds
$X$ of Kodaira dimension zero with 
$H^{0}(X,K_{X})$ not zero. This generalizes earlier results of Voisin and Grabowski. The assumption is sharp, in view of counterexamples by Benoist and Ottem. We also prove similar results on the integral Tate conjecture. For example, the integral Tate conjecture holds for abelian 3-folds in any characteristic.
Foliations with radial Kupka set and pencils of Calabi–Yau hypersurfaces
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- Journal:
- Compositio Mathematica / Volume 142 / Issue 6 / November 2006
- Published online by Cambridge University Press:
- 24 November 2006, pp. 1587-1593
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- November 2006
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Some Calabi–Yau threefolds with obstructed deformations over the Witt vectors
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- Journal:
- Compositio Mathematica / Volume 140 / Issue 6 / November 2004
- Published online by Cambridge University Press:
- 15 October 2004, pp. 1579-1592
- Print publication:
- November 2004
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