Sums of squares in algebraic function fields over a complete discretely valued field

Becher, Karim Johannes; Grimm, David; Van Geel, Jan

Sums of squares in algebraic function fields over a complete discretely valued field

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2014

Autor:innen

Becher, Karim Johannes

Grimm, David

Van Geel, Jan

DOI (zitierfähiger Link)

https://doi.org/10.2140/pjm.2014.267.257

Sammlungen

Mathematik und Statistik
Zukunftskolleg

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Pacific Journal of Mathematics. 2014, 267(2), pp. 257-276. ISSN 0030-8730. eISSN 1945-5844. Available under: doi: 10.2140/pjm.2014.267.257

Zusammenfassung

A recently found local-global principle for quadratic forms over function fields of curves over a complete discretely valued field is applied to the study of quadratic forms, sums of squares, and related field invariants.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

isotropy, local-global principle, real field, sums of squares, u-invariant, Pythagoras number, valuation, algebraic function fields

Zitieren

ISO 690

BECHER, Karim Johannes, David GRIMM, Jan VAN GEEL, 2014. Sums of squares in algebraic function fields over a complete discretely valued field. In: Pacific Journal of Mathematics. 2014, 267(2), pp. 257-276. ISSN 0030-8730. eISSN 1945-5844. Available under: doi: 10.2140/pjm.2014.267.257

BibTex

@article{Becher2014squar-30095,
  year={2014},
  doi={10.2140/pjm.2014.267.257},
  title={Sums of squares in algebraic function fields over a complete discretely valued field},
  number={2},
  volume={267},
  issn={0030-8730},
  journal={Pacific Journal of Mathematics},
  pages={257--276},
  author={Becher, Karim Johannes and Grimm, David and Van Geel, Jan}
}

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Universitätsbibliographie

Ja