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Abstract: We prove that the jacobian of a hyperelliptic curve $y^2=x-thx$ has nonontrivial endomorphisms over an algebraic closure of the ground field $K$ ofcharacteristic zero if $t \in K$ and the Galois group of the polynomial $hx$over $K$ is -very big- and $degh$ is an even number >8. The case of odd$degh>3$ follows easily from previous results of the author.



Autor: Yuri G. Zarhin

Fuente: https://arxiv.org/







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