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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11 papers · 1 filter

math.AG2003

Cyclic covers of prime power degree, jacobians and endomorphisms

Yuri G. Zarhin

Suppose that $K$ is a field of characteristic 0, $K_{a}$ is its algebraic closure, $p$ is a prime, $q = p^{r}$ is a power prime. Suppose that $f (x) \in K [x]$ is a polynomial of degree $n…

math.AG2002

Hyperelliptic jacobians without complex multiplication, doubly transitive permutation groups and projective 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.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…

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…