13 citations · 13 across the 6 of their papers we have counts for
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math.AG1999
Hyperelliptic jacobians without complex multiplication
Yuri G. Zarhin
We prove that the jacobian of a hyperelliptic curve y^2=f(x) has no nontrivial endomorphisms over an algebraic closure of the ground field of characteristic zero if the Galois grou…
math.NT1999
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…
math.AG1999
Hodge classes on abelian varieties of low dimension
B. J. J. Moonen, Yu. G. Zarhin
In this paper we study Hodge classes on complex abelian varieties. We prove some general results that allow us, in certain cases, to compute the Hodge group of a product abelian va…