Birational Chow–Künneth Decompositions

Open Access
Authors
Publication date 2016
Journal Pure and Applied Mathematics Quarterly
Volume | Issue number 12 | 1
Pages (from-to) 105-140
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We study the notion of a birational Chow–Künneth decomposition, which is essentially a decomposition of the integral birational motive of a variety. The existence of a birational Chow– Künneth decomposition is a stably birational invariant. We show that a birational Chow–Künneth decompostion exists for the following varieties: (a) Jacobian variety; (b) Hilbert scheme of points on a K3 surface and (c) The variety of lines on a stably rational cubic threefold or a stably rational cubic fourfold.
Document type Article
Language English
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Birational Chow–Künneth Decompositions (Final published version)
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