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A REMARK ON THE CHOW RING OF KÜCHLE FOURFOLDS OF TYPE $d3$

Part of: Cycles and subschemes

Published online by Cambridge University Press:  06 March 2019

ROBERT LATERVEER Open the ORCID record for ROBERT LATERVEER [Opens in a new window]
ROBERT LATERVEER*
Affiliation:
Institut de Recherche Mathématique Avancée, CNRS–Université de Strasbourg, 7 Rue René Descartes, 67084 Strasbourg CEDEX, France email robert.laterveer@math.unistra.fr
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Abstract

We prove that a Küchle fourfold $X$ of type d3 has a multiplicative Chow–Künneth decomposition. We present some consequences for the Chow ring of $X$.

Keywords

algebraic cyclesChow ringmotivesBeauville ‘splitting property’

MSC classification

Primary: 14C15: (Equivariant) Chow groups and rings; motives
Secondary: 14C25: Algebraic cycles 14C30: Transcendental methods, Hodge theory , Hodge conjecture
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 100 , Issue 3 , December 2019 , pp. 410 - 418
Copyright
© 2019 Australian Mathematical Publishing Association Inc. 

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