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Hyperelliptic jacobians without complex multiplication

Yuri G. Zarhin
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Abstract

We prove that the jacobian of a hyperelliptic curve y^2=f(x) has no nontrivial endomorphisms over an algebraic closure of the ground field of characteristic zero if the Galois group of the polynomial f is ``very big''.

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Yuri G. Zarhin. 1999-09-12. Hyperelliptic jacobians without complex multiplication. https://arxiv.org/abs/math/9909052

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