Geodesic
Gushel–Mukai varieties: intermediate Jacobians
Épijournal de Géométrie Algébrique, Tome 4 (2020)

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

We describe intermediate Jacobians of Gushel-Mukai varieties $X$ of dimensions 3 or 5: if $A$ is the Lagrangian space associated with $X$, we prove that the intermediate Jacobian of $X$ is isomorphic to the Albanese variety of the canonical double covering of any of the two dual Eisenbud-Popescu-Walter surfaces associated with $A$. As an application, we describe the period maps for Gushel-Mukai threefolds and fivefolds. 
@article{10_46298_epiga_2020_volume4_6475,
     author = {Debarre, Olivier and Kuznetsov, Alexander},
     title = {Gushel{\textendash}Mukai varieties: intermediate {Jacobians}},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     volume = {4},
     year = {2020},
     doi = {10.46298/epiga.2020.volume4.6475},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2020.volume4.6475/}
}
TY  - JOUR
AU  - Debarre, Olivier
AU  - Kuznetsov, Alexander
TI  - Gushel–Mukai varieties: intermediate Jacobians
JO  - Épijournal de Géométrie Algébrique
PY  - 2020
VL  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/epiga.2020.volume4.6475/
DO  - 10.46298/epiga.2020.volume4.6475
LA  - en
ID  - 10_46298_epiga_2020_volume4_6475
ER  - 
%0 Journal Article
%A Debarre, Olivier
%A Kuznetsov, Alexander
%T Gushel–Mukai varieties: intermediate Jacobians
%J Épijournal de Géométrie Algébrique
%D 2020
%V 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/epiga.2020.volume4.6475/
%R 10.46298/epiga.2020.volume4.6475
%G en
%F 10_46298_epiga_2020_volume4_6475
Debarre, Olivier; Kuznetsov, Alexander. Gushel–Mukai varieties: intermediate Jacobians. Épijournal de Géométrie Algébrique, Tome 4 (2020). doi: 10.46298/epiga.2020.volume4.6475

Cité par Sources :