Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2011
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| 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. National Science Foundation (NSF)[DMS-0901516] U.S. National Science Foundation (NSF) FAPESP[2008/57214-4] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) |
| Identificador |
ADVANCES IN MATHEMATICS, v.226, n.5, p.4316-4337, 2011 0001-8708 http://producao.usp.br/handle/BDPI/28805 10.1016/j.aim.2010.12.005 |
| Idioma(s) |
eng |
| Publicador |
ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Relação |
Advances in Mathematics |
| Direitos |
restrictedAccess Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Palavras-Chave | #Brauer groups #Division algebras #Noncrossed products #Indecomposable division algebras #Ramification #Function fields of smooth curves #CROSSED-PRODUCTS #EXPONENT #Mathematics |
| Tipo |
article original article publishedVersion |
