Sums of squares in algebraic function fields over a complete discretely valued field
Sums of squares in algebraic function fields over a complete discretely valued field
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2014
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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.
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510 Mathematics
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isotropy, local-global principle, real field, sums of squares, u-invariant, Pythagoras number, valuation, algebraic function fields
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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.2014.267.257BibTex
@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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