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

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Date

2014

Authors

Becher, Karim Johannes

Grimm, David

Van Geel, Jan

DOI (citable link)

10.2140/pjm.2014.267.257

Collections

Mathematik und Statistik
Zukunftskolleg

Publication type

Journal article

Published in

Pacific Journal of Mathematics ; 267 (2014), 2. - pp. 257-276. - ISSN 0030-8730. - eISSN 1945-5844

Abstract

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.

Subject (DDC)

510 Mathematics

Keywords

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

Cite This

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. 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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Bibliography of Konstanz

Yes