Let K be a finite extension of Q p , and suppose that KÂQ p is ramified and that the residue field of K has cardinality at least 3. Let K (2) be the second division field of K with respect to a Lubin Tate formal group, and let 1 =Gal(K (2) ÂK). We determine the associated order in K1 of the valuatio
Galois Module Structure of Jacobians in Unramified Extensions
✍ Scribed by Martha Rzedowski-Calderón; Gabriel Villa-Salvador
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 102 KB
- Volume
- 242
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
For a finite unramified Galois -extension of function fields over an algebraically closed field of characteristic different from , we find the Galois module structure of the elements of the Jacobian whose orders are powers of .
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