13 citations · 13 across the 6 of their papers we have counts for
6 papers · 1 filter
Homomorphisms of abelian varieties
Yuri G. Zarhin
We discuss Galois properties of points of prime order on an abelian variety that imply the simplicity of its endomorphism algebra. Applications to hyperelliptic jacobians are given…
The Tate Conjecture for Powers of Ordinary Cubic Fourfolds Over Finite Fields
Yuri G. Zarhin
Recently N. Levin (Comp. Math. 127 (2001), 1--21) proved the Tate conjecture for ordinary cubic fourfolds over finite fields. In this paper we prove the Tate conjecture for self-pr…
Non-isogenous superelliptic jacobians
Yuri G. Zarhin
In his previous papers (J. reine angew. Math. 544 (2002), 91--110; math.AG/0103203) the author introduced a certain explicit construction of superelliptic jacobians, whose endomorp…
Hyperelliptic jacobians without complex multiplication and Steinberg representations in positive characteristic
Yuri G. Zarhin
In his previous papers (Math. Res. Letters 7 (2000), 123--13; Math. Res. Letters 8 (2001), 429--435; Moscow Math. J. 2 (2002), issue 2, 403-431) the author proved that in character…
Symplectic representations of inertia groups
A. Silverberg, Yu. G. Zarhin
Suppose is a prime number, , is a field that is an unramified finite extension of the field $\Q_\ell$ of -adic numbers, and is a finite group that is…
Polarizations on abelian varieties and self-dual ell-adic representations of inertia groups
Alice Silverberg, Yuri G. Zarhin
It is well-known that every finite subgroup of GL_d(Q_{\ell}) is conjugate to a subgroup of GL_d(Z_{\ell}). However, this does not remain true if we replace general linear groups b…