Y. Zarhin

activity

19982004

most citedHomomorphisms of abelian varieties

13 citations · 13 across the 6 of their papers we have counts for

collaborators

Showing 2000Show all

4 papers · 1 filter

math.NT2000

Symplectic representations of inertia groups

A. Silverberg, Yu. G. Zarhin

Suppose $ℓ$ is a prime number, $ℓ > 3$ , $K$ is a field that is an unramified finite extension of the field $\Q_\ell$ of $ℓ$ -adic numbers, and $G$ is a finite group that is…

math.AG2000

Cyclic covers of the projective line, their jacobians and endomorphisms

Yuri G. Zarhin

We study the endomorphism ring $E n d (J (C))$ of the complex jacobian $J (C)$ of a curve $y^{p} = f (x)$ where $p$ is an odd prime and $f (x)$ is a polynomial with complex coefficiens of deg…

math.AG2000

Hyperelliptic jacobians and modular representations

Yuri G. Zarhin

In his previous paper (Math. Res. Letters 7(2000), 123--132) the author proved that in characteristic zero the jacobian $J (C)$ of a hyperelliptic curve $C : y^{2} = f (x)$ has only trivi…

math.AG2000

Polarizations on abelian varieties

A. Silverberg, Yu. G. Zarhin

The results in this paper imply that for every number field F and positive integer r, there exists an F-isogeny class of abelian varieties such that r divides the degree of every F…