We show that the essential dimension of a non-trivial Abelian variety over a number field is infinite.
On montre que la dimension essentielle d'une variété abélienne non-triviale définie sur un corps de nombres est infinie.
Accepted:
Published online:
Patrick Brosnan 1; Ramesh Sreekantan 2
@article{CRMATH_2008__346_7-8_417_0, author = {Patrick Brosnan and Ramesh Sreekantan}, title = {Essential dimension of {Abelian} varieties over number fields}, journal = {Comptes Rendus. Math\'ematique}, pages = {417--420}, publisher = {Elsevier}, volume = {346}, number = {7-8}, year = {2008}, doi = {10.1016/j.crma.2008.02.008}, language = {en}, }
Patrick Brosnan; Ramesh Sreekantan. Essential dimension of Abelian varieties over number fields. Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 417-420. doi : 10.1016/j.crma.2008.02.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.02.008/
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