Algebraic cycles and Fano threefolds of genus 8
Algebraic Geometry
2021-10-25 v1
Abstract
We show that prime Fano threefolds of genus 8 have 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.
Cite
@article{arxiv.2110.11791,
title = {Algebraic cycles and Fano threefolds of genus 8},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:2110.11791},
year = {2021}
}
Comments
20 pages, to appear in Portugaliae Mathematica, comments welcome ! arXiv admin note: text overlap with arXiv:2105.02016, arXiv:2105.02224, arXiv:2009.11061, arXiv:2108.08547