𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Galois module structure of Tate modules

✍ Scribed by Martha Rzedowski-Calderón; Gabriel Villa Salvador; Manohar L. Madan

Publisher
Springer-Verlag
Year
1997
Tongue
French
Weight
390 KB
Volume
224
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Integral Galois Module Structure of Some
Integral Galois Module Structure of Some Lubin–Tate Extensions
✍ Nigel P. Byott 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 259 KB

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

Carlitz Modules and Galois Module Struct
Carlitz Modules and Galois Module Structure
✍ Akira Aiba 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 609 KB

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.

Carlitz Modules and Galois Module Struct
Carlitz Modules and Galois Module Structure II
✍ Akira Aiba 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 282 KB

Let L#F be cyclotomic function fields of Carlitz. We show that if LÂF is Carlitz Kummer, the integer ring O L is free over the associated order as in the classical cyclotomic Kummer extension. However, contrary to the characteristic zero case, O L is not free unless LÂF is Carlitz Kummer.

Galois Module Structure and Elliptic Fun
Galois Module Structure and Elliptic Functions
✍ W. Bley 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 669 KB

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

Finite galois modules
Finite galois modules
✍ A. F. Kryuchkov 📂 Article 📅 1981 🏛 Springer US 🌐 English ⚖ 484 KB