Algebraic cycles and Gushel-Mukai fivefolds

2020/09/30 by Robert Laterveer · 4 citations
Mathematics · #math.AG #msc:14C15 #msc:14C25 #msc:14C30

paper · pdf · doi:10.1016/j.jpaa.2020.106582

19 pages, to appear in J. Pure and Applied Algebra, comments welcome. v2: minor corrections to the proof of Corollary 4.1

arxiv created 2021/06/10 · arxiv updated 2021/06/11

Abstract

We show that Gushel-Mukai fivefolds admit a multiplicative Chow-Künneth 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.

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