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Salvatore Floccari - On the motive of O'Grady's six dimensional hyper-Kähler varieties
epiga:9758 - Épijournal de Géométrie Algébrique, February 13, 2023, Volume 7 - https://doi.org/10.46298/epiga.2022.9758On the motive of O'Grady's six dimensional hyper-Kähler varietiesArticle
Authors: Salvatore Floccari 
We prove that the rational Chow motive of a six dimensional hyper-Kähler variety obtained as symplectic resolution of O'Grady type of a singular moduli space of semistable sheaves on an abelian surface $A$ belongs to the tensor category of motives generated by the motive of $A$. We in fact give a formula for the rational Chow motive of such a variety in terms of that of the surface.
As a consequence, the conjectures of Hodge and Tate hold for many hyper-Kähler varieties of OG6-type.
Comment: 10 pages; final version, published in EPIGA
Source: arXiv.org:2203.16257
Volume: Volume 7
Published on: February 13, 2023
Accepted on: October 22, 2022
Submitted on: July 4, 2022
Keywords: Mathematics - Algebraic Geometry
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