Algebraic cycles and Todorov surfaces
Algebraic Geometry
2019-01-09 v1
Abstract
Motivated by the Bloch-Beilinson conjectures, Voisin has formulated a conjecture about 0-cycles on self-products of surfaces of geometric genus one. We verify Voisin's conjecture for the family of Todorov surfaces with and fundamental group . As a by-product, we prove that certain Todorov surfaces have finite-dimensional motive.
Cite
@article{arxiv.1609.09629,
title = {Algebraic cycles and Todorov surfaces},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:1609.09629},
year = {2019}
}
Comments
To appear in Kyoto Journal of Mathematics, 31 pages, comments still welcome !