13 citations · 22 across the 13 of their papers we have counts for
4 papers · 1 filter
Cubic surfaces and cubic threefolds, jacobians and intermediate jacobians
Yuri G. Zarhin
In this paper we study principally polarized complex abelian varieties that admit an automorphism of order 3. It turns out that certain natural conditions on the multiplicities of…
Abelian varieties without homotheties
Yuri G. Zarhin
A celebrated theorem of Bogomolov asserts that the -adic Lie algebra attached to the Galois action on the Tate module of an abelian variety over a number field contains all h…
A finiteness theorem for the Brauer group of abelian varieties and K3 surfaces
Alexei Skorobogatov, Yuri Zarhin
Let be a field that is finitely generated over the field of rational numbers and the Brauer group of . Let be an absolutely irreducible smooth projective variety…
Superelliptic jacobians
Yuri G. Zarhin
We discuss the structure of the endomorphism algebras of the jacobians of superelliptic curves y^q=f(x) where q is a prime power and f(x) is an irreducible cubic or quartic polynom…