On extensions of mixed motives
type: Item
instance of: scholarly article
title: On extensions of mixed motives
zbMATH Open document ID: 0890.14001
author: Christopher Deninger
published in: Collectanea Mathematica
publication date: 1997-08-14T00:00:00Z
full work available at URL: https://eudml.org/doc/40429
review text: The author gives an excellent introduction to mixed motives. The examples he discusses are constructed from cycles and elements in algebraic \(K\)-groups (\S 2), CM elliptic curves (\S 4), modular forms (\S 5), and certain Laurent polynomials in several variables (\S 6). The last example may be of interest for mathematicians working on dynamical systems: a particular Deligne period of a certain mixed motive has an interpretation as the entropy of a certain expansive \(\mathbb{Z}^n\)-action on a compact topological group.
Mathematics Subject Classification ID: 14A20
Mathematics Subject Classification ID: 19E08
Mathematics Subject Classification ID: 11G09
zbMATH DE Number: 1048941
zbMATH Keywords: mixed motives
zbMATH Keywords: \(K\)-groups
zbMATH Keywords: elliptic curves
zbMATH Keywords: Deligne period
zbMATH Keywords: entropy
reviewed by: Andrzej Dąbrowski
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1048941