Chow-Künneth decomposition for some moduli spaces
type: Item
instance of: scholarly article
title: Chow-Künneth decomposition for some moduli spaces
zbMATH Open document ID: 1167.14006
author: Stefan Müller-Stach
author: Jaya N. Iyer
published in: Documenta Mathematica
publication date: 2009-05-17T00:00:00Z
full work available at URL: https://eudml.org/doc/130402
full work available at URL: 01.html
review text: In the early 1990's, J. P. Murre proposed a series of conjectures on the complexity of the Chow group of a smooth projective variety, in terms of a motivic Chow-Künneth decomposition on the level of rational equivalence. These conjectures provide a very explicit description of Chow groups in terms of a conjectural descending filtration, called the Bloch-Beilinson filtration. The work under review investigates Murre's Chow-Künneth decomposition conjecture for universal families of smooth curves over spaces which dominate the moduli space \({\mathcal M}_g\), in genus at most \(8\), and show the existence of an equivariant Chow-Künneth decomposition.
Mathematics Subject Classification ID: 14C25
Mathematics Subject Classification ID: 14D05
Mathematics Subject Classification ID: 14D20
Mathematics Subject Classification ID: 14D21
zbMATH DE Number: 5554401
zbMATH Keywords: Chow group
zbMATH Keywords: Murre's conjectures
zbMATH Keywords: Chow-Künneth decomposition
zbMATH Keywords: algebraic cycle
reviewed by: James D. Lewis
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5554401