Algebraic cycles and Gushel-Mukai fivefolds
Algebraic Geometry
2021-06-11 v2
Abstract
We show that Gushel-Mukai fivefolds admit a multiplicative Chow-K\"unneth decomposition, in the sense of Shen-Vial. As a consequence, a certain tautological subring of the Chow ring of powers of these varieties injects into cohomology.
Keywords
Cite
@article{arxiv.2009.11061,
title = {Algebraic cycles and Gushel-Mukai fivefolds},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:2009.11061},
year = {2021}
}
Comments
19 pages, to appear in J. Pure and Applied Algebra, comments welcome. v2: minor corrections to the proof of Corollary 4.1