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math.AG2000
Cyclic covers of the projective line, their jacobians and endomorphisms
Yuri G. Zarhin
We study the endomorphism ring of the complex jacobian of a curve where is an odd prime and 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 of a hyperelliptic curve 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…