Some new Fano varieties with a multiplicative Chow-K\"unneth decomposition
Algebraic Geometry
2021-11-16 v1
Abstract
Let be a smooth dimensionally transverse intersection of the Grassmannian with 3 Pl\"ucker hyperplanes. We show that admits 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 injects into cohomology.
Keywords
Cite
@article{arxiv.2111.07069,
title = {Some new Fano varieties with a multiplicative Chow-K\"unneth decomposition},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:2111.07069},
year = {2021}
}
Comments
16 pages, to appear in Osaka J. Math., comments welcome. arXiv admin note: substantial text overlap with arXiv:2009.11061; text overlap with arXiv:2107.10051, arXiv:2105.02016, arXiv:2105.02224, arXiv:2110.11791, arXiv:2108.08547