Article contents
Gras-Type Conjectures Fattitle for Function Fields
Published online by Cambridge University Press: 04 December 2007
Abstract
Based on results obtained in [15], we construct groups of special S-units for function fields of characteristic p>0, and show that they satisfy Gras-type Conjectures. We use these results in order to give a new proof of Chinburg‘s Ω$_3$-Conjecture on the Galois module structure of the group of S-units, for cyclic extensions of prime degree of function fields.
Keywords
- Type
- Research Article
- Information
- Copyright
- © 1999 Kluwer Academic Publishers
- 7
- Cited by