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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves

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Author(s):
Brussel, E. [1] ; McKinnie, K. [2] ; Tengan, E. [3]
Total Authors: 3
Affiliation:
[1] Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 - USA
[2] Univ Montana, Dept Math Sci, Missoula, MT 59801 - USA
[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: ADVANCES IN MATHEMATICS; v. 226, n. 5, p. 4316-4337, MAR 20 2011.
Web of Science Citations: 6
Abstract

We construct indecomposable and noncrossed product division algebras over function fields of connected smooth curves X over Z(p). This is done by defining an index preserving morphism s: Br(<(K(X))over cap>)' --> Br(K(X))' which splits res : Br(K (X)) --> Br(<(K(X))over cap>), where <(K(X))over cap> is the completion of K (X) at the special fiber, and using it to lift indecomposable and noncrossed product division algebras over <(K(X))over cap>. (C) 2010 Elsevier Inc. All rights reserved. (AU)