Special subvarieties arising from families of cyclic covers of the projective line
Documenta mathematica, Tome 15 (2010), pp. 793-819.
Voir la notice de l'article dans Electronic Library of Mathematics
Summary: We consider families of cyclic covers of $\Bbb P^1$, 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.
Classification :
11G15, 14H40, 14G35
Mots-clés : special subvarieties, Jacobians, complex multiplication
Mots-clés : special subvarieties, Jacobians, complex multiplication
@article{DOCMA_2010__15__a10, author = {Moonen, Ben}, title = {Special subvarieties arising from families of cyclic covers of the projective line}, journal = {Documenta mathematica}, pages = {793--819}, publisher = {mathdoc}, volume = {15}, year = {2010}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/DOCMA_2010__15__a10/} }
Moonen, Ben. Special subvarieties arising from families of cyclic covers of the projective line. Documenta mathematica, Tome 15 (2010), pp. 793-819. https://geodesic-test.mathdoc.fr/item/DOCMA_2010__15__a10/