Transcendence degree of zero-cycles and the structure of Chow motives
Algebraic Geometry
2015-05-12 v2
Abstract
We show how the notion of the transcendence degree of a zero-cycle on a smooth projective variety X is related to the structure of the motive M(X). This can be of particular interest in the context of Bloch's conjecture, especially for Godeaux surfaces, when the surface is given as a finite quotient of a suitable quintic in P^3.
Keywords
Cite
@article{arxiv.1009.1434,
title = {Transcendence degree of zero-cycles and the structure of Chow motives},
author = {Sergey Gorchinskiy and Vladimir Guletskii},
journal= {arXiv preprint arXiv:1009.1434},
year = {2015}
}
Comments
13 pages, added references