no. 7-8
Algebraic Geometry/Number Theory
Essential dimension of Abelian varieties over number fields
[Dimension essentielle d'une variété abélienne sur un corps de nombres]

Présenté par : Jean-Pierre Serre

Brosnan, Patrick1 ; Sreekantan, Ramesh2
1 Department of Mathematics, The University of British Columbia, 1984 Mathematics Road, Vancouver, B.C., Canada V6T 1Z2
2 School of Mathematics, Tata Institute of Fundamental Research, 1 Homi Bhabha Road, Colaba, Mumbai 400 005, India
Comptes Rendus. Mathématique, Tome 346 (2008) no. 7-8, pp. 417-420.

On montre que la dimension essentielle d'une variété abélienne non-triviale définie sur un corps de nombres est infinie.

We show that the essential dimension of a non-trivial Abelian variety over a number field is infinite.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.02.008
Brosnan, Patrick 1 ; Sreekantan, Ramesh 2

1 Department of Mathematics, The University of British Columbia, 1984 Mathematics Road, Vancouver, B.C., Canada V6T 1Z2
2 School of Mathematics, Tata Institute of Fundamental Research, 1 Homi Bhabha Road, Colaba, Mumbai 400 005, India 
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Brosnan, Patrick; Sreekantan, Ramesh. Essential dimension of Abelian varieties over number fields. Comptes Rendus. Mathématique, Tome 346 (2008) no. 7-8, pp. 417-420. doi : 10.1016/j.crma.2008.02.008. http://www.numdam.org/articles/10.1016/j.crma.2008.02.008/

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