Geodesic
Compactification de schémes Abéliens dégénérant au-dessus d'un diviseur régulier
Documenta mathematica, Tome 11 (2006), pp. 57-71.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider a semiabelian scheme $G$ over a regular base scheme $S$, which is generically abelian, such that the points of the base where the scheme is not abelian form a regular divisor $S_0$. We construct a compactification of $G$, that is a proper flat scheme $P$ over the base scheme, containing $G$ as a dense open set, such that $P_{S_0}$ is a divisor with normal crossings in $P$. We also show that given an isogeny between two such semiabelian schemes, we can construct the compactifications so that the isogeny extends to a morphism between the compactifications.
Classification : 11G10, 11G18, 14G35, 14K05 
@article{DOCMA_2006__11__a15,
     author = {Rozensztajn, Sandra},
     title = {Compactification de sch\'emes {Ab\'eliens} d\'eg\'en\'erant au-dessus d'un diviseur r\'egulier},
     journal = {Documenta mathematica},
     pages = {57--71},
     publisher = {mathdoc},
     volume = {11},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2006__11__a15/}
}
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Rozensztajn, Sandra. Compactification de schémes Abéliens dégénérant au-dessus d'un diviseur régulier. Documenta mathematica, Tome 11 (2006), pp. 57-71. http://geodesic.mathdoc.fr/item/DOCMA_2006__11__a15/