Geodesic
Compactification of degenerate abelian schemes over a regular divisor
Documenta mathematica, Tome 11 (2006), pp. 57-71
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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 S0​. 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 PS0​​ 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.
DOI : 10.4171/dm/204
Classification : 11G10, 11G18, 14G35, 14K05 
@article{10_4171_dm_204,
     author = {Sandra Rozensztajn},
     title = {Compactification of degenerate abelian schemes over a regular divisor},
     journal = {Documenta mathematica},
     pages = {57--71},
     year = {2006},
     volume = {11},
     doi = {10.4171/dm/204},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/204/}
}
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Sandra Rozensztajn. Compactification of degenerate abelian schemes over a regular divisor. Documenta mathematica, Tome 11 (2006), pp. 57-71. doi: 10.4171/dm/204

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