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Faithfully quadratic rings - a summary of results

M. Dickmann, F. Miraglia (2016)

Banach Center Publications

This is a summary of some of the main results in the monograph Faithfully Ordered Rings (Mem. Amer. Math. Soc. 2015), presented by the first author at the ALANT conference, Będlewo, Poland, June 8-13, 2014. The notions involved and the results are stated in detail, the techniques employed briefly outlined, but proofs are omitted. We focus on those aspects of the cited monograph concerning (diagonal) quadratic forms over preordered rings.

Finiteness theorems for forms over global fields.

Jenna P. Carpenter (1992)

Mathematische Zeitschrift

Formally real fields, pythagorean fields, C-fields and W-groups.

Ján Minác, Michel Spira (1990)

Mathematische Zeitschrift

Formes quadratiques et cycles algébriques

Bruno Kahn (2004/2005)

Séminaire Bourbaki

Introduite par Witt en 1937, la théorie des formes quadratiques sur un corps joue un rôle central dans la démonstration des conjectures de Milnor par Voevodsky via les travaux pionniers de Rost qui y interviennent. Réciproquement, les méthodes de Rost et Voevodsky utilisant la théorie des motifs et les opérations de Steenrod motiviques révolutionnent la théorie des formes quadratiques et ont conduit à la démonstration de résultats de base qui semblaient auparavant inaccessibles. On expliquera notamment...

Function Fields of Quadratic Forms.

Robert W. Fitzgerald (1981)

Mathematische Zeitschrift

Displaying 1 – 5 of 5

Faithfully quadratic rings - a summary of results

Finiteness theorems for forms over global fields.

Formally real fields, pythagorean fields, C-fields and W-groups.

Formes quadratiques et cycles algébriques

Function Fields of Quadratic Forms.

Currently displaying 1 – 5 of 5