Algebraic cycles on hyper-Kähler varieties of generalized Kummer type

Research output: Working paper/Preprint › Preprint

Authors

  • Salvatore Floccari
  • Mauro Varesco

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Original languageEnglish
Publication statusE-pub ahead of print - 9 Aug 2023

Abstract

We prove the conjectures of Hodge and Tate for any four-dimensional hyper-K\"ahler variety of generalized Kummer type. For an arbitrary variety \(X\) of generalized Kummer type, we show that all Hodge classes in the subalgebra of the rational cohomology generated by \(H^2(X,\mathbb{Q})\) are algebraic.

Keywords

    math.AG

Cite this

Algebraic cycles on hyper-Kähler varieties of generalized Kummer type. / Floccari, Salvatore; Varesco, Mauro.
2023.

Research output: Working paper/Preprint › Preprint

Floccari S, Varesco M. Algebraic cycles on hyper-Kähler varieties of generalized Kummer type. 2023 Aug 9. Epub 2023 Aug 9. doi: 10.48550/arXiv.2308.04865
Floccari, Salvatore ; Varesco, Mauro. / Algebraic cycles on hyper-Kähler varieties of generalized Kummer type. 2023.
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