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Cohomological invariants for higher degree forms

URN to cite this document: urn:nbn:de:bvb:355-opus-2594

Rupprecht, Christopher (2003) Cohomological invariants for higher degree forms. PhD, Universität Regensburg

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Abstract (English)

Let $r>2$ be an integer and let $K$ be a field in which $r!$ is invertible. An $r$-form over $K$ is an equivalence class of regular finite-dimensional $K$-multilinear forms of degree $r$. The operation of direct sums allows the definition of a Witt Grothendieck group of $r$-forms over $K$. It becomes a ring with the multiplication induced by the tensor product of $r$-forms. The properties of the ...

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Translation of the abstract (German)

Sei $r >2$ eine ganze Zahl und sei $K$ ein Körper, in dem $r!$ invertierbar ist. Ein $r$-Form über $K$ ist eine Äquivalenzklasse regulärer endlich-dimensionaler $K$-multilinearer Formen vom Grad $r$ über $K$. Die Verknüpfung durch direkte Summen liefert die Definition einer Witt Grothendieck Gruppe der $r$-Formen über $K$, und mit der Multiplikation durch das Tensorprodukt bildet diese einen ...

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Export bibliographical data

Item Type:Thesis of the University of Regensburg (PhD)
Date:10 July 2003
Referee:Uwe (Prof. Dr.) Jannsen
Date of exam:2 May 2003
Institutions:Mathematics > Prof. Dr. Uwe Jannsen
Classification:
NotationType
15A15MSC
19G99MSC
19G12MSC
11E76MSC
Keywords:Homogenes Polynom , Diskriminante , Witt-Gruppen von Ringen , Forms of degree higher than 2 , Discriminants , Witt Groups of rings
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:26 Oct 2009 13:08
Last Modified:13 Mar 2014 11:15
Item ID:10107
Owner Only: item control page
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