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

E. Brussel; K. McKinnie; E. Tengan

doi:10.1016/j.aim.2010.12.005

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

E. Brussel, K. McKinnie, E. Tengan

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We construct indecomposable and noncrossed product division algebras over function fields of connected smooth curves X over Zp. This is done by defining an index preserving morphism s:Br(K(X))'→Br(K(X))' which splits res:Br(K(X))→Br(K(X))', where K(X) is the completion of K(X) at the special fiber, and using it to lift indecomposable and noncrossed product division algebras over K(X).

Original language	English
Pages (from-to)	4316-4337
Number of pages	22
Journal	Advances in Mathematics
Volume	226
Issue number	5
DOIs	https://doi.org/10.1016/j.aim.2010.12.005
State	Published - Mar 20 2011

Keywords

Brauer groups
Division algebras
Function fields of smooth curves
Indecomposable division algebras
Noncrossed products
Ramification

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10.1016/j.aim.2010.12.005

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abstract = "We construct indecomposable and noncrossed product division algebras over function fields of connected smooth curves X over Zp. This is done by defining an index preserving morphism s:Br(K(X))'→Br(K(X))' which splits res:Br(K(X))→Br(K(X))', where K(X) is the completion of K(X) at the special fiber, and using it to lift indecomposable and noncrossed product division algebras over K(X).",

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T1 - Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves

AU - Brussel, E.

AU - McKinnie, K.

AU - Tengan, E.

PY - 2011/3/20

Y1 - 2011/3/20

N2 - We construct indecomposable and noncrossed product division algebras over function fields of connected smooth curves X over Zp. This is done by defining an index preserving morphism s:Br(K(X))'→Br(K(X))' which splits res:Br(K(X))→Br(K(X))', where K(X) is the completion of K(X) at the special fiber, and using it to lift indecomposable and noncrossed product division algebras over K(X).

AB - We construct indecomposable and noncrossed product division algebras over function fields of connected smooth curves X over Zp. This is done by defining an index preserving morphism s:Br(K(X))'→Br(K(X))' which splits res:Br(K(X))→Br(K(X))', where K(X) is the completion of K(X) at the special fiber, and using it to lift indecomposable and noncrossed product division algebras over K(X).

KW - Brauer groups

KW - Division algebras

KW - Function fields of smooth curves

KW - Indecomposable division algebras

KW - Noncrossed products

KW - Ramification

UR - http://www.scopus.com/inward/record.url?scp=79551581629&partnerID=8YFLogxK

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DO - 10.1016/j.aim.2010.12.005

M3 - Article

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SN - 0001-8708

VL - 226

SP - 4316

EP - 4337

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 5

ER -

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

Abstract

Keywords

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