A Pfister form invariant for etale algebras

by Markus Rost (Notes, September 2002, 5 pages)

A m-fold Pfister form is associated to any etale algebra of rank 2m+1.

Full text (version of November 23, 2002): [dvi] [dvi.gz] [pdf] [pdf.gz] [ps] [ps.gz]

Related texts:

The multiplicative transfer for the Grothendieck-Witt ring

by Markus Rost (Notes, January 2003, 10 pages)

In this text we collect some material related with the multiplicative norm for the Grothendieck-Witt ring. It is a first draft. Details can be found below in the diploma thesis by Wittkop and Krsnik.

Full text (version of January 28, 2003): [dvi] [dvi.gz] [pdf] [pdf.gz] [ps] [ps.gz]

Die multiplikative quadratische Norm für den Grothendieck-Witt-Ring

von Tobias Wittkop (Diplomarbeit, Universität Bielefeld, 2006, 40 Seiten)

The diploma thesis defines the multiplicative transfer for the Grothendieck-Witt ring for quadratic field extensions and derives various formulas for it.

Full text: [dvi] [dvi.gz] [ps] [ps.gz] [pdf]

Der multiplikative Transfer auf dem Grothendieck-Witt-Ring

von Simon Krsnik (Diplomarbeit, Universität Bielefeld, 2006, 67 Seiten)

The diploma thesis defines the multiplicative transfer for the Grothendieck-Witt ring for arbitrary etale extensions of a field.

Full text: [dvi] [dvi.gz] [ps] [ps.gz] [pdf]

Notes on invariants for quadratic forms

by Markus Rost (Notes, December 1998, 2 pages)

Similarity invariants of quadratic forms are described.

Full text (version of December 19, 1998): [dvi] [dvi.gz] [pdf] [pdf.gz] [ps] [ps.gz]


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