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math.AG2026
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…
math.AG2025
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…
math.AG2024
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…