Geodesic
Algebraic cycles on Gushel-Mukai varieties
Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023)

Voir la notice de l'article provenant de la source Episciences

We study algebraic cycles on complex Gushel-Mukai (GM) varieties. We prove the generalised Hodge conjecture, the (motivated) Mumford-Tate conjecture, and the generalised Tate conjecture for all GM varieties. We compute all integral Chow groups of GM varieties, except for the only two infinite-dimensional cases (1-cycles on GM fourfolds and 2-cycles on GM sixfolds). We prove that if two GM varieties are generalised partners or generalised duals, their rational Chow motives in middle degree are isomorphic.
DOI : 10.46298/epiga.2024.9815
Classification : 14C15, 14C25, 14C30, 14F08, 14J45 
@article{10_46298_epiga_2024_9815,
     author = {Fu, Lie and Moonen, Ben},
     title = {Algebraic cycles on {Gushel-Mukai} varieties},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     year = {2023},
     doi = {10.46298/epiga.2024.9815},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2024.9815/}
}
TY  - JOUR
AU  - Fu, Lie
AU  - Moonen, Ben
TI  - Algebraic cycles on Gushel-Mukai varieties
JO  - Épijournal de Géométrie Algébrique
PY  - 2023
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/epiga.2024.9815/
DO  - 10.46298/epiga.2024.9815
LA  - en
ID  - 10_46298_epiga_2024_9815
ER  - 
%0 Journal Article
%A Fu, Lie
%A Moonen, Ben
%T Algebraic cycles on Gushel-Mukai varieties
%J Épijournal de Géométrie Algébrique
%D 2023
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/epiga.2024.9815/
%R 10.46298/epiga.2024.9815
%G en
%F 10_46298_epiga_2024_9815
Fu, Lie; Moonen, Ben. Algebraic cycles on Gushel-Mukai varieties. Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023). doi: 10.46298/epiga.2024.9815

Cité par Sources :