Algebraic cycles and Gushel-Mukai fivefolds

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.

arXiv comment19 pages, to appear in J. Pure and Applied Algebra, comments welcome. v2: minor corrections to the proof of Corollary 4.1

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Cited by in corpus (6)

• Algebraic cycles and intersections of 2 quadrics
• On the Chow ring of Fano varieties on the Fatighenti-Mongardi list
• On the tautological ring of Humbert curves
• Algebraic cycles on Gushel-Mukai varieties
• Chow groups of Gushel-Mukai fivefolds
• Some new Fano varieties with a multiplicative Chow-Künneth decomposition