Galois module structure of holomorphic differentials in characteristicp
✍ Scribed by Martha Rzedowski-Calderón; Gabriel Villa-Salvador; Manohar L. Madan
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 307 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0003-889X
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📜 SIMILAR VOLUMES
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 .
We show several results concerning the finite groups that occur as Galois groups of unramified covers of projective curves in characteristic p. In particular, we prove that every finite group with g generators occurs over some curve of genus g. This implies, for example, that every finite simple gro