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

DOI10.4171/CMH/479zbMath1442.14032arXiv1802.01845WikidataQ123161905 ScholiaQ123161905MaRDI QIDQ2179697

Olivier Benoist, John Christian Ottem

Publication date: 13 May 2020

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01845

zbMATH Keywords

algebraic cyclesEnriques surfacesintegral Hodge conjecture

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (14)

The integral Hodge conjecture for two-dimensional Calabi–Yau categories ⋮ A pencil of Enriques surfaces with non-algebraic integral Hodge classes ⋮ Curve classes on Calabi–Yau complete intersections in toric varieties ⋮ Refined unramified cohomology of schemes ⋮ On the integral Hodge conjecture for varieties with trivial Chow group ⋮ On the integral Tate conjecture for the product of a curve and a \(CH_0\)-trivial surface over a finite field ⋮ On the unramified cohomology of certain quotient varieties ⋮ On the integral Hodge conjecture for real abelian threefolds ⋮ An \({\mathcal{O}} \)-acyclic variety of even index. With an Appendix by Olivier Wittenberg ⋮ Curve classes on irreducible holomorphic symplectic varieties ⋮ On the integral Hodge conjecture for real varieties. I ⋮ Examples of non-algebraic classes in the Brown-Peterson tower ⋮ THE INTEGRAL HODGE CONJECTURE FOR 3-FOLDS OF KODAIRA DIMENSION ZERO ⋮ Unramified cohomology in a product with an elliptic curve

Cites Work

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• ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD
• Stably irrational hypersurfaces of small slopes

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