Y. Zarhin

activity

19982004

most citedHomomorphisms of abelian varieties

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

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3 papers · 1 filter

math.AG2001

The endomorphism rings of jacobians of cyclic covers of the projective line

Yuri G. Zarhin

Suppose K is a field of characteristic 0, $K_{a}$ is its algebraic closure, p is an odd prime. Suppose, $f (x) \in K [x]$ is a polynomial of degree $n \geq 5$ without multiple roots. Le…

math.AG2001

Hyperelliptic jacobians and $\U_3(2^m)$

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.AG2001

Hyperelliptic jacobians without complex multiplication in positive characteristic

Yuri G. Zarhin

We prove that in odd characteristic the jacobian of a hyperelliptic curve $y^{2} = f (x)$ has no nontrivial endomorphisms over an algebraic closure of the ground field if the Galois gro…