Some more Fano threefolds with a multiplicative Chow-K\"unneth decomposition
Algebraic Geometry
2023-01-06 v1
Abstract
We exhibit several families of Fano threefolds with a multiplicative Chow-K\"unneth decomposition, in the sense of Shen-Vial. As a consequence, a certain tautological subring of the Chow ring of powers of these threefolds injects into cohomology. As a by-product of the argument, we observe that double covers of projective spaces admit a multiplicative Chow-K\"unneth decomposition.
Keywords
Cite
@article{arxiv.2301.01961,
title = {Some more Fano threefolds with a multiplicative Chow-K\"unneth decomposition},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:2301.01961},
year = {2023}
}
Comments
18 pages, to appear in Publications RIMS Kyoto, comments welcome. arXiv admin note: text overlap with arXiv:2110.11791