2020 Algebraic cycles and Verra fourfolds
Robert Laterveer
Tohoku Math. J. (2) 72(3): 451-485 (2020). DOI: 10.2748/tmj/1601085625

Abstract

This note is about the Chow ring of Verra fourfolds. For a general Verra fourfold, we show that the Chow group of homologically trivial 1-cycles is generated by conics. We also show that Verra fourfolds admit a multiplicative Chow–Künneth decomposition, and draw some consequences for the intersection product in the Chow ring of Verra fourfolds.

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Robert Laterveer. "Algebraic cycles and Verra fourfolds." Tohoku Math. J. (2) 72 (3) 451 - 485, 2020. https://doi.org/10.2748/tmj/1601085625

Information

Published: 2020
First available in Project Euclid: 26 September 2020

MathSciNet: MR4154828
Digital Object Identifier: 10.2748/tmj/1601085625

Subjects:
Primary: 14C15
Secondary: 14C25 , 14C30

Keywords: algebraic cycles , Beauville's “(weak) splitting property” , Chow groups , hyperkähler varieties , motives , multiplicative Chow–Künneth decomposition , Verra fourfolds

Rights: Copyright © 2020 Tohoku University

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Vol.72 • No. 3 • 2020
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