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A Note on the Existence of Absolutely Simple Jacobians

C. -L. Chai·F. Oort
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Abstract

We show that for any family of curves over a base scheme of finite type over the prime field $\mathbb F_p$ such that the monodromy is ``maximal'', there exist infinitely many closed points of the base scheme such that the Jacobian of fibre is absolutely simple.

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C. -L. Chai, F. Oort. 1999-05-11. A Note on the Existence of Absolutely Simple Jacobians. https://arxiv.org/abs/math/9905063

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