Some Motivic Properties of Gushel-Mukai Sixfolds
Algebraic Geometry
2023-05-24 v2
Abstract
Gushel-Mukai sixfolds are an important class of so-called Fano-K3 varieties. In this paper we show that they admit a multiplicative Chow-K\"unneth decomposition modulo algebraic equivalence and that they have the Franchetta property. As side results, we show that double EPW sextics and cubes have the Franchetta property, modulo algebraic equivalence, and some vanishing results for the Chow ring of Gushel-Mukai sixfolds.
Keywords
Cite
@article{arxiv.2201.11175,
title = {Some Motivic Properties of Gushel-Mukai Sixfolds},
author = {Michele Bolognesi and Robert Laterveer},
journal= {arXiv preprint arXiv:2201.11175},
year = {2023}
}
Comments
22 pages, all comments welcome. Version 2: revised according to referees' comments, to appear in Math. Nachrichten