Patrick Brosnan and Ramesh Sreekantan: Essential dimension of abelian varieties over number fields

Submission: 2007, Nov 26

We affirmatively answer a conjecture in the preprint ``Essential dimension and algebraic stacks'' (preprint 238 on LAGRS), proving that the essential dimension of an abelian variety over a number field is infinite.

2000 Mathematics Subject Classification: 14K99, 11F80, 11E72

Keywords and Phrases: Essential dimension, abelian varieties, Frobenius torus

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