# Algorithms for quadratic forms over real function fields

Konrad Jałowiecki; Przemysław Koprowski

Banach Center Publications (2016)

- Volume: 108, Issue: 1, page 133-141
- ISSN: 0137-6934

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topKonrad Jałowiecki, and Przemysław Koprowski. "Algorithms for quadratic forms over real function fields." Banach Center Publications 108.1 (2016): 133-141. <http://eudml.org/doc/286124>.

@article{KonradJałowiecki2016,

abstract = {This paper presents algorithms for quadratic forms over a formally real algebraic function field K of one variable over a fixed real closed field k. The algorithms introduced in the paper solve the following problems: test whether an element is a square, respectively a local square, compute Witt index of a quadratic form and test if a form is isotropic/hyperbolic. Finally, we remark on a method for testing whether two function fields are Witt equivalent.},

author = {Konrad Jałowiecki, Przemysław Koprowski},

journal = {Banach Center Publications},

keywords = {quadratic forms; real algebraic function fields; index; isotropy; algorithm},

language = {eng},

number = {1},

pages = {133-141},

title = {Algorithms for quadratic forms over real function fields},

url = {http://eudml.org/doc/286124},

volume = {108},

year = {2016},

}

TY - JOUR

AU - Konrad Jałowiecki

AU - Przemysław Koprowski

TI - Algorithms for quadratic forms over real function fields

JO - Banach Center Publications

PY - 2016

VL - 108

IS - 1

SP - 133

EP - 141

AB - This paper presents algorithms for quadratic forms over a formally real algebraic function field K of one variable over a fixed real closed field k. The algorithms introduced in the paper solve the following problems: test whether an element is a square, respectively a local square, compute Witt index of a quadratic form and test if a form is isotropic/hyperbolic. Finally, we remark on a method for testing whether two function fields are Witt equivalent.

LA - eng

KW - quadratic forms; real algebraic function fields; index; isotropy; algorithm

UR - http://eudml.org/doc/286124

ER -

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