caa a22 4500 445836806 CHVBK 20180317145332.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00209-010-0729-y doi (NATIONALLICENCE)springer-10.1007/s00209-010-0729-y Springer's theorem for tame quadratic forms over Henselian fields [Elektronische Daten] [M. Elomary, J.-P. Tignol] A quadratic form over a Henselian-valued field of arbitrary residue characteristic is tame if it becomes hyperbolic over a tame extension. The Witt group of tame quadratic forms is shown to be canonically isomorphic to the Witt group of graded quadratic forms over the graded ring associated to the filtration defined by the valuation, hence also isomorphic to a direct sum of copies of the Witt group of the residue field indexed by the value group modulo 2. Springer-Verlag, 2010 Witt group nationallicence Henselian valuation nationallicence Elomary M. F.S.T. Errachidia, Moulay Ismail University, B.P. 509, Boutalamine, Errachidia, Morocco aut Tignol J.-P Université de Louvain, 1348, Louvain-la-Neuve, Belgium aut Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 309-323 0025-5874 269:1-2<309 2011 269 209 https://doi.org/10.1007/s00209-010-0729-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0729-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Elomary M. F.S.T. Errachidia, Moulay Ismail University, B.P. 509, Boutalamine, Errachidia, Morocco aut NATIONALLICENCE 700 1- Tignol J.-P Université de Louvain, 1348, Louvain-la-Neuve, Belgium aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 309-323 0025-5874 269:1-2<309 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer