Some algebraic aspects of quadratic forms over fields of characteristic two.
Baeza, Ricardo (2001)
Documenta Mathematica
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Baeza, Ricardo (2001)
Documenta Mathematica
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Knus, Max-Albert, Villa, Oliver (2001)
Documenta Mathematica
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Ricardo Baeza (1979)
Mémoires de la Société Mathématique de France
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Pete L. Clark, William C. Jagy (2014)
Acta Arithmetica
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We study ADC quadratic forms and Euclidean quadratic forms over the integers, obtaining complete classification results in the positive case.
Becher, Karim Johannes, Hoffmann, Detlev W. (2007)
Documenta Mathematica
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Burt Totaro (2009)
Bulletin de la Société Mathématique de France
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We construct new birational maps between quadrics over a field. The maps apply to several types of quadratic forms, including Pfister neighbors, neighbors of multiples of a Pfister form, and half-neighbors. One application is to determine which quadrics over a field are ruled (that is, birational to the projective line times some variety) in a larger range of dimensions. We describe ruledness completely for quadratic forms of odd dimension at most 17, even dimension at most 10, or dimension...
Lewis, D.W. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Laghribi, Ahmed (1999)
Documenta Mathematica
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A.I. Barvinok (1993)
Discrete & computational geometry
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Jesse Ira Deutsch (2009)
Acta Arithmetica
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Lewis, David W. (2001)
International Journal of Mathematics and Mathematical Sciences
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Susan Schuur (1980)
Acta Arithmetica
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K. Szymiczek
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CONTENTSIntroduction.................................................................................................................................. 5Chapter I. Preliminaries oil round and Pfister forms.......................................................... 8Chapter II. Basic properties of the Grothendieck ring......................................................... 11 § 1. Prime ideals in G(F).........................................................................................................
B. Birch, D. Lewis (1965)
Acta Arithmetica
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