Quadratic forms over fields

K. Szymiczek

Displaying similar documents to “Quadratic forms over fields”

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On 14-dimensional quadratic forms in $I^{3}$ , 8-dimensional forms in $I^{2}$ , and the common value property.

Hoffmann, Detlef W., Tignol, Jean-Pierre (1998)

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Ternary quadratic forms that represent zero: the function field case

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Fields of Cohomological 2-Dimension Three.

Richard Elman, Jón Kr. Arason, Bill Jacob (1986)

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Some algebraic aspects of quadratic forms over fields of characteristic two.

Baeza, Ricardo (2001)

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Indecomposable integral quadratic forms over global function fields

Larry J. Gerstein (2000)

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Algorithms for quadratic forms over real function fields

Konrad Jałowiecki, Przemysław Koprowski (2016)

Banach Center Publications

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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.