Results 21 to 30 of about 11,668,875 (322)
Applications of quadratic D-forms to generalized quadratic forms
پژوهشهای ریاضی, 2022 In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space.
Amir Hossein Nokhodkar
doaj
Wargaming with Quadratic Forms and Brauer Configuration Algebras
Mathematics, 2022 Recently, Postnikov introduced Bert Kostant’s game to build the maximal positive root associated with the quadratic form of a simple graph. This result, and some other games based on Cartan matrices, give a new version of Gabriel’s theorem regarding ...
Agustín Moreno Cañadas +2 more
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The birational composition of arbitrary quadratic form with binary quadratic form
Журнал Белорусского государственного университета: Математика, информатика, 2022 Let f(X) and g(Y) be nondegenerate quadratic forms of dimensions m and n respectively over a field K, charK ≠ 2. Herein, the problem of the birational composition of f(X) and g(Y) is considered, namely, the condition is established when the product f(X)g(
Alexandr A. Bondarenko
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Aspects of Enumerative Geometry with Quadratic Forms
Documenta Mathematica, 2017 We develop various aspects of classical enumerative geometry, including Euler characteristics and formulas for counting degenerate fibres in a pencil, with the classical numerical formulas being replaced by identitites in the Grothendieck-Witt group of ...
M. Levine
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Annihilating polynomials for quadratic forms
International Journal of Mathematics and Mathematical Sciences, 2001 This is a short survey of the main known results concerning annihilating polynomials for the Witt ring of quadratic forms over a field.
David W. Lewis
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Saddlepoint approximations for noncentral quadratic forms [PDF]
, 1998 Many estimators and tests are of the form of a ratio of quadratic forms in normal variables. Excepting a few very special cases little is known about the density or distribution of these ratios, particularly if we allow for noncentrality in the quadratic
Marsh, P.W.N.
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UNIVERSAL QUADRATIC FORMS AND ELEMENTS OF SMALL NORM IN REAL QUADRATIC FIELDS [PDF]
Bulletin of the Australian Mathematical Society, 2015 For any positive integer $M$ we show that there are infinitely many real quadratic fields that do not admit $M$ -ary universal quadratic forms (without any restriction on the parity of their cross coefficients).
Vítězslav Kala
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Witt rings of quadratically presentable fields [PDF]
Categories and General Algebraic Structures with Applications, 2020 This paper introduces an approach to the axiomatic theory of quadratic forms based on {tmem{presentable}} partially ordered sets, that is partially ordered sets subject to additional conditions which amount to a strong form of local presentability.
Pawel Gladki, Krzysztof Worytkiewicz
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On quadratic forms over semilocal rings
Transactions of the American Mathematical Society, 2017 Using a recent result of Panin and Pimenov we show that several results, as for instance the linkage principle, in the algebraic theory of quadratic forms over fields also hold for quadratic forms over regular semilocal domains which contain a field of ...
Stefan Gille
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Number fields without n-ary universal quadratic forms [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2015 Given any positive integer M, we show that there are infinitely many real quadratic fields that do not admit universal quadratic forms with even cross coefficients in M variables.
V. Blomer, Vítězslav Kala
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