21 citations · 73 across the 19 of their papers we have counts for
21 papers
Improved unirationality for GL-varieties
Arthur Bik, Jan Draisma, Rob Eggermont +1
A -variety is a typically infinite dimensional variety equipped with a suitable action of the infinite general linear group . In earlier work, we establis…
Strength and partition rank under limits and field extensions
Arthur Bik, Jan Draisma, Amichai Lampert +1
The strength of a multivariate homogeneous polynomial is the minimal number of terms in an expression as a sum of products of lower-degree homogeneous polynomials. Partition rank i…
The geometry of polynomial representations in positive characteristic
Arthur Bik, Jan Draisma, Andrew Snowden
A -variety is a (typically infinite dimensional) variety modeled on the polynomial representation theory of the general linear group. In previous work, we studied thes…
Two improvements in Brauer's theorem on forms
Arthur Bik, Jan Draisma, Andrew Snowden
Let be a Brauer field, that is, a field over which every diagonal form in sufficiently many variables has a nonzero solution; for instance, could be an imaginary quadratic…
Uniformity for limits of tensors
Arthur Bik, Jan Draisma, Rob Eggermont +1
There are many notions of rank in multilinear algebra: tensor rank, partition rank, slice rank, and strength (or Schmidt rank) are a few examples. Typically the rank locus…
Higher-degree symmetric rank-metric codes
Arthur Bik, Alessandro Neri
Over fields of characteristic unequal to , we can identify symmetric matrices with homogeneous polynomials of degree . This allows us to view symmetric rank-metric codes as l…