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Algebraic cycles and Gushel-Mukai fivefolds

Published 23 Sep 2020 in math.AG | (2009.11061v2)

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.

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