4 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…
Singular loci in varieties of tensors
Christopher Chiu, Alessandro Danelon, Jan Draisma
A Vec-variety is a suitable functor from finite-dimensional vector spaces to finite-dimensional varieties. Most varieties in the geometry of tensors, e.g. the variety of d-way tens…
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…