13 citations · 13 across the 6 of their papers we have counts for
19 papers
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…
Cyclic covers of prime power degree, jacobians and endomorphisms
Yuri G. Zarhin
Suppose that is a field of characteristic 0, is its algebraic closure, is a prime, is a power prime. Suppose that is a polynomial of degree $n…
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…
Very simple representations: variations on a theme of Clifford
Yuri G. Zarhin
We discuss a certain class of absolutely irreducible group representations that behave nicely under the restriction to normal subgroups and subalgebras. These representations prove…