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Archiv der Mathematik

, Volume 90, Issue 3, pp 217–222 | Cite as

Annihilating polynomials of excellent quadratic forms

  • Klaas-Tido Rühl
Article

Abstract.

If φ is an excellent form, then it is possible to use the dimensions of the higher complements of φ to obtain an annihilating polynomial of φ of low degree. The main result of this paper is the construction of such a polynomial with the help of methods from the theory of generic splitting of quadratic forms.

Mathematics Subject Classification (2000).

Primary 11E81 Secondary 16R99 

Keywords.

Quadratic form annihilating polynomial 

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Copyright information

©  2008

Authors and Affiliations

  1. 1.EPFL SB IMB CSAG, MA C3 575 (Batiment MA)LausanneSwitzerland

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