A Note on the Existence of Absolutely Simple Jacobians

Details A Note on the Existence of Absolutely Simple Jacobians A Note on the Existence of Absolutely Simple Jacobians

1999-05-11

arxiv.org/abs/math/9905063v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

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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