Sums of Squares in Algebraic Function Fields

Grimm, David

Sums of Squares in Algebraic Function Fields

Dateien

Diss_Grimm.pdf(1.06 MB)

Datum

2011

Projekt

Quadratic Forms and Invariants

Sammlungen

Mathematik und Statistik
Zukunftskolleg

Publikationstyp

Dissertation

Zusammenfassung

We study sums of squares in algebraic function fields over formally real fields, in particular the arithmetic properties of the field of constants that are necessary or sufficient for a small Pythagoras number of the function field.

Zusammenfassung in einer weiteren Sprache

Wir studieren Quadratsummen in algebraischen Funktionenkörpern über reellen Körper, insbesondere arithmetische Eigenschaften des Konstantenkörpers welche notwendig oder hinreichend für eine kleine Pythagoraszahl des Funktionenkörpers sind.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

sums of squares,quadratic forms,curves and fibered surfaces,local-global principle,rational points,scalar restriction

Zitieren

ISO 690

GRIMM, David, 2011. Sums of Squares in Algebraic Function Fields [Dissertation]. Konstanz: University of Konstanz

BibTex

@phdthesis{Grimm2011Squar-19398,
  year={2011},
  title={Sums of Squares in Algebraic Function Fields},
  author={Grimm, David},
  address={Konstanz},
  school={Universität Konstanz}
}

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Prüfungsdatum der Dissertation

July 21, 2011