4 papers · 1 filter
Computing the continuous symmetries of a parametrized variety
Benjamin Biaggi, Jan Draisma, Fulvio Gesmundo +2
We prove that the symmetry Lie algebra of a parametrized variety can be determined directly from the parametrization, without computing the vanishing ideal of the variety. We deriv…
Symmetric subrank and its border analogue
Benjamin Biaggi, Jan Draisma, Koen de Nooij +1
The symmetric subrank of homogeneous polynomial is the largest number of terms in a diagonal form to which it can be specialized by a (typically non-invertible) linear variable sub…
Border subrank via a generalised Hilbert-Mumford criterion
Benjamin Biaggi, Chia-Yu Chang, Jan Draisma +1
We show that the border subrank of a sufficiently general tensor in is for . Since this matches the growth rat…
Real subrank of order-three tensors
Benjamin Biaggi, Jan Draisma, Sarah Eggleston
We study the subrank of real order-three tensors and give a lower bound to the subrank of a real tensor given its complex subrank. Using similar arguments to those used by Bernardi…