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The Minkowski-Siegel Formula for quadratic bundles on curves

The Minkowski-Siegel Formula for quadratic bundles on curves

by Juan Marcos Cerviño
Doctoral thesis
Date of Examination:2006-07-13
Date of issue:2007-09-26
Advisor:Prof. Dr. Ulrich Stuhler
Referee:Prof. Dr. Ulrich Stuhler
Referee:Prof. Dr. Yuri Tschinkel
crossref-logoPersistent Address: http://dx.doi.org/10.53846/goediss-2477

 

 

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Abstract

English

The subject of this thesis is the arithmetic theory of quadratic forms in the language of algebraic geometry. The main goal is to formulate and prove the Minkowski-Siegel formula for definite quadratic bundles over curves over finite fields.
Keywords: Quadratic forms; quadratic bundles; orthogonal groups

Other Languages

Das Thema dieser Arbeit ist die arithmetische Theorie der quadratischen Formen in der Sprache der algebraischen Geometrie. Das Hauptziel ist es, die Minkowski-Siegelsche Formel für definite quadratische Bündel auf Kurven über endlichen Körpern zu formulieren und zu beweisen.
Schlagwörter: Quadratische Formen; quadratische Bündel; orthogonale Gruppen
 

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