Some noteworthy alternating trilinear forms

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

Given an alternating trilinear form T on the V=F^n let L_T denote the set of
T-singular lines in the projective space PV. These are all lines for
which the linear form T(a,b,.) is identically zero. Amongst the immense
profusion of different kinds of T we single out a few which we deem noteworthy
by virtue of the special nature of their set LT.

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