Geodesic
Torelli theorem for stable curves
Journal of the European Mathematical Society, Tome 13 (2011) no. 5, pp. 1289-1329

Voir la notice de l'article provenant de la source EMS Press

We study the Torelli morphism from the moduli space of stable curves to the moduli space of principally polarized stable semi-abelic pairs. We give two characterizations of its fibers, describe its injectivity locus, and give a sharp upper bound on the cardinality of finite fibers. We also bound the dimension of infinite fibers.
DOI : 10.4171/jems/281
Classification : 14-XX, 00-XX
Keywords: Torelli map, Jacobian variety, theta divisor, stable curve, stable semi-abelic pair, compactified Picard scheme, semiabelian variety, moduli space, dual graph 
Lucia Caporaso; Filippo Viviani. Torelli theorem for stable curves. Journal of the European Mathematical Society, Tome 13 (2011) no. 5, pp. 1289-1329. doi: 10.4171/jems/281
@article{JEMS_2011_13_5_a2,
     author = {Lucia Caporaso and Filippo Viviani},
     title = {Torelli theorem for stable curves},
     journal = {Journal of the European Mathematical Society},
     pages = {1289--1329},
     year = {2011},
     volume = {13},
     number = {5},
     doi = {10.4171/jems/281},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/281/}
}
TY  - JOUR
AU  - Lucia Caporaso
AU  - Filippo Viviani
TI  - Torelli theorem for stable curves
JO  - Journal of the European Mathematical Society
PY  - 2011
SP  - 1289
EP  - 1329
VL  - 13
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/281/
DO  - 10.4171/jems/281
ID  - JEMS_2011_13_5_a2
ER  - 
%0 Journal Article
%A Lucia Caporaso
%A Filippo Viviani
%T Torelli theorem for stable curves
%J Journal of the European Mathematical Society
%D 2011
%P 1289-1329
%V 13
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/281/
%R 10.4171/jems/281
%F JEMS_2011_13_5_a2

Cité par Sources :