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1. CMB 2009 (vol 53 pp. 95)
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Towards the Full Mordell-Lang Conjecture for Drinfeld Modules Let $\phi$ be a Drinfeld module of generic characteristic, and let X be a sufficiently generic affine subvariety of $\mathbb{G_a^g}$. We show that the intersection of X with a finite rank $\phi$-submodule of $\mathbb{G_a^g}$ is finite.
Keywords:Drinfeld module, Mordell-Lang conjecture Categories:11G09, 11G10 |
2. CMB 2000 (vol 43 pp. 282)
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Characteristic $p$ Galois Representations That Arise from Drinfeld Modules We examine which representations of the absolute Galois group of a
field of finite characteristic with image over a finite field of the
same characteristic may be constructed by the Galois group's action on
the division points of an appropriate Drinfeld module.
Categories:11G09, 11R32, 11R58 |
3. CMB 1997 (vol 40 pp. 385)
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Elliptic units and class fields of global function fields Elliptic units of global function fields were first studied by
D.~Hayes in the case that $\deg\infty$ is assumed to be $1$, and he
obtained some class number formulas using elliptic units. We
generalize Hayes' results to the case that $\deg\infty$ is arbitrary.
Categories:11R58, 11G09 |