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THE ESSENTIAL DIMENSION OF A g-DIMENSIONAL COMPLEX ABELIAN VARIETY IS 2g
ESSENTIAL DIMENSION COMPLEX ABELIAN VARIETY IS 2g
2015/9/29
We compute the Buhler-Reichstein essential dimension of a complex abelian variety using Kummer theory.
Consider an absolutely simple abelian variety A defined over a number field K. For most places v of K, we study how the reduction Av of A modulo v splits up to isogeny. Assumingthe Mumford–Tate conjec...
On the $p$-adic closure of a subgroup of rational points on an Abelian variety
$p$-adic closure subgroup of rational points Abelian variety
2011/2/24
In 2007, B. Poonen (unpublished) studied the p{adic closure of a subgroup of rational points on a commutative algebraic group. More recently, J. Bellache asked the same question for the special case...