Algebraic cycles and intersections of three quadrics
Algebraic Geometry
2022-08-31 v1
Abstract
Let be a smooth complete intersection of three quadrics, and assume the dimension of is even. We show that has a multiplicative Chow-K\"unneth decomposition, in the sense of Shen-Vial. As a consequence, the Chow ring of (powers of) displays K3-like behaviour. As a by-product of the argument, we also establish a multiplicative Chow-K\"unneth decomposition for double planes.
Cite
@article{arxiv.2108.08547,
title = {Algebraic cycles and intersections of three quadrics},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:2108.08547},
year = {2022}
}
Comments
19 pages, to appear in Math. Proceedings of the Cambridge Philosophical Society, comments welcome. arXiv admin note: substantial text overlap with arXiv:2105.02224, arXiv:2105.02016, arXiv:2009.11061