Algebraic cycles and EPW cubes

Robert Laterveer

Mathematische Nachrichten, 2018, vol. 291, issue 7, 1088-1113

Abstract: Let X be a hyperkähler variety with an anti†symplectic involution ι. According to Beauville's conjectural “splitting property†, the Chow groups of X should split in a finite number of pieces such that the Chow ring has a bigrading. The Bloch–Beilinson conjectures predict how ι should act on certain of these pieces of the Chow groups. We verify part of this conjecture for a 19†dimensional family of hyperkähler sixfolds that are “double EPW cubes†(in the sense of Iliev–Kapustka–Kapustka–Ranestad). This has interesting consequences for the Chow ring of the quotient X/ι, which is an “EPW cube†(in the sense of Iliev–Kapustka–Kapustka–Ranestad).

Date: 2018
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.201600518

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:291:y:2018:i:7:p:1088-1113

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().