Geodesic
Special subvarieties arising from families of cyclic covers of the projective line
Documenta mathematica, Tome 15 (2010), pp. 793-819
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We consider families of cyclic covers of P1, where we fix the covering group and the local monodromies and we vary the branch points. We prove that there are precisely twenty such families that give rise to a special subvariety in the moduli space of abelian varieties. Our proof uses techniques in mixed characteristics due to Dwork and Ogus.
DOI : 10.4171/dm/314
Classification : 11G15, 14G35, 14H40
Mots-clés : Jacobians, special subvarieties, complex multiplication 
@article{10_4171_dm_314,
     author = {Ben Moonen},
     title = {Special subvarieties arising from families of cyclic covers of the projective line},
     journal = {Documenta mathematica},
     pages = {793--819},
     year = {2010},
     volume = {15},
     doi = {10.4171/dm/314},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/314/}
}
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Ben Moonen. Special subvarieties arising from families of cyclic covers of the projective line. Documenta mathematica, Tome 15 (2010), pp. 793-819. doi: 10.4171/dm/314

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