Algebraic cycles on hyper-Kähler varieties of generalized Kummer type

Publikation: Arbeitspapier/Preprint › Preprint

Autoren

  • Salvatore Floccari
  • Mauro Varesco

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OriginalspracheEnglisch
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 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.

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

Publikation: Arbeitspapier/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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