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 .
Galois module structure of unramified covers
β Scribed by Georgios Pappas
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 348 KB
- Volume
- 341
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let \(X\) be a complete irreducible nonsingular algebraic curve defined over an algebraically closed field \(k\) of characteristic \(p\). We consider a linite group \(G\) of order prime to \(p\). In this paper we count the number of unramified Galois coverings of \(X\) whose Galois group is isomorph
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
Let \(K\) be a quadratic imaginary number field and \(R_{f}\) the ring class field modulo \(f\) over \(K, f \in \mathbb{N}\). Let \(\theta_{f}\) denote the order of conductor \(f\) in \(K\) and let \(\mathfrak{g}^{*}, \mathrm{~g}\) be proper O \(\gamma\)-ideals such that \(\mathbf{g}^{* 2} \subseteq
Let k be a one variable rational function field over a finite field. We construct an example of a wildly ramified abelian extension over k, whose integer ring is not free over its associated order.