2 papers
math.AG2011
Some noteworthy alternating trilinear forms
Jan Draisma, Ron Shaw
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 <a,b> for which the linear form T(a,b,…
math.AG2009
Singular lines of trilinear forms
Jan Draisma, Ron Shaw
We prove that an alternating e-form on a vector space over a quasi-algebraically closed field always has a singular (e-1)-dimensional subspace, provided that the dimension of the s…