Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-27T08:57:18.498Z Has data issue: false hasContentIssue false
  • English
  • Français

Characteristic p Galois Representations That Arise from Drinfeld Modules

Published online by Cambridge University Press:  20 November 2018

Nigel Boston  and
David T. Ose
Nigel Boston
Affiliation:
Department of Mathematics, University of Illinois, Urbana, Illinois 61801, USA, email: boston@math.uiuc.edu
David T. Ose
Affiliation:
Department of Mathematics, Bucknell University, Lewisburg, Pennsylvania 17837, USA, email: ose-d@member.ams.org
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Keywords

11G0911R3211R58
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 43 , Issue 3 , 01 September 2000 , pp. 282 - 293
Copyright
Copyright © Canadian Mathematical Society 2000

References

[FM] Fontaine, J.-M. and Mazur, B., Geometric Galois Representations. In: Elliptic curves and modular forms (eds. J. H. Coates and S. T. Yau), Proceedings of a conference held in Hong Kong, December 18–21, 1993. International Press, Cambridge, MA, and Hong Kong.Google Scholar
[D] Drinfeld, V. G., Elliptic Modules. Math. USSR Sbornik 23 (1974), 561–592.Google Scholar
[G] Goss, D., Basic structures of function field arithmetic. Ergeb.Math. Grenzgeb. 35, Springer, 1996.Google Scholar
[H] Hayes, D., Explicit class field theory for rational function fields. Trans. Amer. Math. Soc. 189 (1974), 77–91.Google Scholar
[O] Ose, D., Toward a deformation theory for Galois representations of function fields. J. Number Theory 70 (1998), 37–61.Google Scholar
[S] Serre, J.-P., Sur les représentations modulaires de degré 2 de Gal(/Q). Duke Math. J. 54 (1987), 179–230.Google Scholar
[S2] Serre, J.-P., Topics in Galois theory. Bartlett and Jones, 1992.Google Scholar