Affine Quadrics

Part of the Problem Books in Mathematics book series (PBM)


An affine quadratic form over X is a polynomial over X whose degree is less than or equal to 2 (cf. 3.E); we denote by Q(X) the vector space of such polynomials The symbol \(\vec q\) of qQ(X) is a polynomial of degree 2 over \(\vec X\). In every vectorialization of X, we can write q= q 2 + q 1 + q 0, where q 0K, q 1 is a linear form, and \({q_2} = \vec q.\)


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Copyright information

© Marcel Berger 1984

Authors and Affiliations

  1. 1.U.E.R. de Mathematique et InformatiqueUniversité Paris VIIParis, Cedex 05France
  2. 2.Centre National de la Recherche ScientifiqueParisFrance
  3. 3.P.U.K.GrenobleFrance

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