ON THE SPLITTING OF QUASILINEAR p-FORMS
نویسنده
چکیده
We study the splitting behaviour of quasilinear p-forms in the spirit of the theory of non-singular quadratic forms over fields of characteristic different from 2 using an analogue of Knebusch’s generic splitting tower. Several new applications to the theory of quasilinear quadratic forms are given. Among them, we can mention an algebraic analogue of Vishik’s theorem on ‘outer excellent connections’ in the motives of quadrics, partial results towards a quasilinear analogue of Karpenko’s theorem on the possible values of the first Witt index, and a proof of a conjecture of Hoffmann on quadratic forms with maximal splitting in the quasilinear case.
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