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

Autor(es)

Brussel, E. ^[1] ; McKinnie, K. ^[2] ; Tengan, E. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: ADVANCES IN MATHEMATICS; v. 226, n. 5, p. 4316-4337, MAR 20 2011.
• Citações Web of Science: 6

Resumo

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)

• Processo FAPESP: 08/57214-4 - Algebras de divisao
• Beneficiário: Eduardo Tengan
• Modalidade de apoio: Auxílio à Pesquisa - Regular