Geodesic
Albanese varieties of abelian covers
Journal of Singularities, Tome 12 (2015), pp. 105-123

Voir la notice de l'article provenant de la source Journal of Singularities website

We show that the Albanese variety of an abelian cover of the projective plane is isogenous to a product of isogeny components of abelian varieties associated with singularities of the ramification locus provided certain conditions are met. In particular Albanese varieties of abelian covers of P^2 ramified over arrangements of lines and uniformized by the unit ball in C62 are isogenous to a product of Jacobians of Fermat curves. Periodicity of the sequence of (semi-abelian) Albanese varieties of unramified cyclic covers of complements to a plane singular curve is shown. 
@article{10_5427_jsing_2015_12g,
     author = {Anatoly Libgober},
     title = {Albanese varieties of abelian covers},
     journal = {Journal of Singularities},
     pages = {105--123},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     doi = {10.5427/jsing.2015.12g},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.12g/}
}
TY  - JOUR
AU  - Anatoly Libgober
TI  - Albanese varieties of abelian covers
JO  - Journal of Singularities
PY  - 2015
SP  - 105
EP  - 123
VL  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.12g/
DO  - 10.5427/jsing.2015.12g
ID  - 10_5427_jsing_2015_12g
ER  - 
%0 Journal Article
%A Anatoly Libgober
%T Albanese varieties of abelian covers
%J Journal of Singularities
%D 2015
%P 105-123
%V 12
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.12g/
%R 10.5427/jsing.2015.12g
%F 10_5427_jsing_2015_12g
Anatoly Libgober. Albanese varieties of abelian covers. Journal of Singularities, Tome 12 (2015), pp. 105-123. doi: 10.5427/jsing.2015.12g

Cité par Sources :