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september 2017 A remark on the Chow ring of some hyperkähler fourfolds
Robert Laterveer
Bull. Belg. Math. Soc. Simon Stevin 24(3): 447-455 (september 2017). DOI: 10.36045/bbms/1506477693

Abstract

Let $X$ be a hyperkähler variety. Voisin has conjectured that the classes of Lagrangian constant cycle subvarieties in the Chow ring of $X$ should lie in a subring injecting into cohomology. We study this conjecture for the Fano variety of lines on a very general cubic fourfold.

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Robert Laterveer. "A remark on the Chow ring of some hyperkähler fourfolds." Bull. Belg. Math. Soc. Simon Stevin 24 (3) 447 - 455, september 2017. https://doi.org/10.36045/bbms/1506477693

Information

Published: september 2017
First available in Project Euclid: 27 September 2017

zbMATH: 06803442
MathSciNet: MR3706813
Digital Object Identifier: 10.36045/bbms/1506477693

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

Keywords: algebraic cycles , Beauville's splitting principle , Bloch--Beilinson filtration , Chow groups , Fano variety of lines on cubic fourfold , hyperkähler varieties , motives , multiplicative Chow--Künneth decomposition , spread of algebraic cycles

Rights: Copyright © 2017 The Belgian Mathematical Society

Vol.24 • No. 3 • september 2017
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