Geodesic
Smooth subvarieties of Jacobians
Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023)

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

We give new examples of algebraic integral cohomology classes on smooth projective complex varieties that are not integral linear combinations of classes of smooth subvarieties. Some of our examples have dimension 6, the lowest possible. The classes that we consider are minimal cohomology classes on Jacobians of very general curves. Our main tool is complex cobordism.
DOI : 10.46298/epiga.2023.10321
Classification : 14C25, 14K12, 57R77 
@article{10_46298_epiga_2023_10321,
     author = {Benoist, Olivier and Debarre, Olivier},
     title = {Smooth subvarieties of {Jacobians}},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     year = {2023},
     doi = {10.46298/epiga.2023.10321},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2023.10321/}
}
TY  - JOUR
AU  - Benoist, Olivier
AU  - Debarre, Olivier
TI  - Smooth subvarieties of Jacobians
JO  - Épijournal de Géométrie Algébrique
PY  - 2023
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/epiga.2023.10321/
DO  - 10.46298/epiga.2023.10321
LA  - en
ID  - 10_46298_epiga_2023_10321
ER  - 
%0 Journal Article
%A Benoist, Olivier
%A Debarre, Olivier
%T Smooth subvarieties of Jacobians
%J Épijournal de Géométrie Algébrique
%D 2023
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/epiga.2023.10321/
%R 10.46298/epiga.2023.10321
%G en
%F 10_46298_epiga_2023_10321
Benoist, Olivier; Debarre, Olivier. Smooth subvarieties of Jacobians. Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023). doi: 10.46298/epiga.2023.10321

Cité par Sources :