<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We prove that certain Fano fourfolds of K3 type constructed by Fatighenti–Mongardi have a multiplicative Chow–Künneth decomposition. We present some consequences for the Chow ring of these fourfolds.</p></abstract>

We prove that certain Fano fourfolds of K3 type constructed by Fatighenti–Mongardi have a multiplicative Chow–Künneth decomposition. We present some consequences for the Chow ring of these fourfolds.

On the Chow ring of certain Fano fourfolds

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

{"article-title":"On the Chow ring of certain Fano fourfolds"}

We prove that certain Fano fourfolds of K3 type constructed by Fatighenti–Mongardi have a multiplicative Chow–Künneth decomposition. We present some...

On the Chow ring of certain Fano fourfolds

Published Online: Dec 31, 2020

Page range: 39 - 52

Received: May 02, 2019

Accepted: Jul 29, 2019

DOI: https://doi.org/10.2478/aupcsm-2020-0004

Keywords
Algebraic cycles, Chow ring, motives, Beauville “splitting property”, Fano variety, K3 surface

© 2020 Robert Laterveer, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

On the Chow ring of certain Fano fourfolds

Published Online: Dec 31, 2020

Page range: 39 - 52

Received: May 02, 2019

Accepted: Jul 29, 2019

DOI: https://doi.org/10.2478/aupcsm-2020-0004

KeywordsAlgebraic cycles, Chow ring, motives, Beauville “splitting property”, Fano variety, K3 surface

© 2020 Robert Laterveer, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Keywords
Algebraic cycles, Chow ring, motives, Beauville “splitting property”, Fano variety, K3 surface