Mathematische Zeitschrift

, Volume 237, Issue 1, pp 181–198 | Cite as

Rationally trivial hermitian spaces are locally trivial

  • Manuel Ojanguren
  • Ivan Panin
Original articles


Let R be a regular local ring, K its field of fractions and A an Azumaya algebra with involution over R. Let h be an \(\epsilon\)-hermitian space over A. We show that if \(\bold{h}\otimes_R K\) is hyperbolic over \(A\otimes_R K\), then h is hyperbolic over A.


Local Ring Regular Local Ring Hermitian Space 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Manuel Ojanguren
    • 1
  • Ivan Panin
    • 2
  1. 1.IMA, UNIL, 1015 Lausanne, Switzerland CH
  2. 2.LOMI, Fontanka 27, Saint Petersburg 191011, Russia RU

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