A Note on the Existence of Absolutely Simple Jacobians
Algebraic Geometry
2007-05-23 v1 Number Theory
Abstract
We show that for any family of curves over a base scheme of finite type over the prime field 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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Cite
@article{arxiv.math/9905063,
title = {A Note on the Existence of Absolutely Simple Jacobians},
author = {C. -L. Chai and F. Oort},
journal= {arXiv preprint arXiv:math/9905063},
year = {2007}
}
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7 pages