Bloch-type conjectures and an example of a threefold of general type
Algebraic Geometry
2009-02-12 v1
Abstract
The hypothetical existence of a good theory of mixed motives predicts many deep phenomena related to algebraic cycles. One of these, a generalization of Bloch's conjecture says that "small Hodge diamonds" go with "small Chow groups". Voisin's method (which produces examples with small Chow groups) is analyzed carefully to widen its applicability. A threefold of general type without 1- and 2-forms is exhibited for which this extension yields Bloch's generalized conjecture.
Keywords
Cite
@article{arxiv.0902.1960,
title = {Bloch-type conjectures and an example of a threefold of general type},
author = {Chris Peters},
journal= {arXiv preprint arXiv:0902.1960},
year = {2009}
}
Comments
Accepted by Communications in Contemporary Mathematics