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research article

Descent properties of hermitian Witt groups in inseparable extensions

Bayer-Fluckiger, Eva  
•
Moldovan, Daniel Arnold  
2011
Archiv Der Mathematik

Let k be a field of characteristic ≠2, A be a central simple algebra with involution σ over k and W(A,σ) be the associated Witt group of hermitian forms. We prove that for all purely inseparable extensions L of k, the canonical map rL/k:W(A,σ)⟶W(AL,σL) is an isomorphism.

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Type
research article
DOI
10.1007/s00013-011-0261-2
Web of Science ID

WOS:000293172500008

Author(s)
Bayer-Fluckiger, Eva  
Moldovan, Daniel Arnold  
Date Issued

2011

Publisher

Springer Verlag

Published in
Archiv Der Mathematik
Volume

96

Start page

547

End page

553

Subjects

Hermitian forms

•

Witt groups

•

Central simple algebras with involution

•

Extension of scalars

•

Purely inseparable extensions

•

Galois Cohomology

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CSAG  
Available on Infoscience
January 9, 2012
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/76451
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