Algebraic cycles and Verra fourfolds
Algebraic Geometry
2019-06-13 v1
Abstract
This note is about the Chow ring of Verra fourfolds. For a general Verra fourfold, we show that the Chow group of homologically trivial -cycles is generated by conics. We also show that Verra fourfolds admit a multiplicative Chow-K\"unneth decomposition, and draw some consequences for the intersection product in the Chow ring of Verra fourfolds.
Cite
@article{arxiv.1906.04799,
title = {Algebraic cycles and Verra fourfolds},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:1906.04799},
year = {2019}
}
Comments
34 pages, to appear in Tohoku Math. J., comments welcome !