2012/10/29 by Stephen Scully, Scully, Stephen
Computer Science · Mathematics · #11E04 #11E76 #14E05 #15A03 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1210.7836
openalex publication_date 2012/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the splitting behaviour of quasilinear p-forms in the spirit of the theory of nondegenerate quadratic forms over fields of characteristic different from 2 using an analogue of M. 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 A. Vishik's theorem on "outer excellent connections" in the motives of quadrics, partial results towards a quasilinear analogue of N. Karpenko's theorem on the possible values of the invariant i1, and a proof of a conjecture of D. Hoffmann on quadratic forms with maximal splitting in the quasilinear case.