Y. Zarhin Title: Abelian
varieties without homotheties.
Abstract: A celebrated theorem of Bogomolov asserts that the l-adic
Lie algebra attached to the Galois action on the Tate module of an
abelian variety over a number field contains all homotheties. This is
not the case for an ordinary elliptic curve over a finite field. We
discuss an explicit construction of non-constant absolutely
simple ordinary abelian varieties without homotheties over
global fields in characteristic p.
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