Annihilating polynomials of excellent quadratic forms
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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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