6 citations · 9 across the 8 of their papers we have counts for
9 papers
The F-signature of Determinantal Rings
Hang Huang, Cheng Meng, Cheng Mend +2
Let be the determinantal hypersurface ring defined by the determinant of a generic matrix in characteristic where . In this paper, we obtain ex…
On Linear spaces of of matrices bounded rank
Hang Huang, J. M. Landsberg
Motivated by questions in theoretical computer science and quantum information theory, we study the classical problem of determining linear spaces of matrices of bounded rank. Spac…
Geometry of backflow transformation ansatz for quantum many-body fermionic wavefunctions
Hang Huang, J. M. Landsberg, Jianfeng Lu
Wave function ansatz based on the backflow transformation are widely used to parametrize anti-symmetric multivariable functions for many-body quantum problems. We study the geometr…
The InvariantRing package for Macaulay2
Luigi Ferraro, Federico Galetto, Francesca Gandini +3
We describe a significant update to the existing InvariantRing package for Macaulay2. In addition to expanding and improving the methods of the existing package for actions of fini…
Minimal Set of Generators of Ideals Defining Nilpotent Orbit Closures
Hang Huang
Over a field of characteristic , we construct a minimal set of generators of the defining ideals of closures of nilpotent conjugacy class in the set of matrices. Th…
Syzygies of Determinantal Thickenings
Hang Huang
Let be the ring of polynomial functions on the space of matrices, and consider the action of the group $\mathbf{GL} = \mathbf{GL}_m \times \m…
Vanishing Hessian, wild forms and their border VSP
Hang Huang, Mateusz Michałek, Emanuele Ventura
Wild forms are homogeneous polynomials whose smoothable rank is strictly larger than their border rank. The discrepancy between these two ranks is caused by the difference between…
Relations between the 2x2 minors of a generic matrix
Hang Huang, Michael Perlman, Claudia Polini +2
We prove the case t = 2 of a conjecture of Bruns-Conca-Varbaro, describing the minimal relations between the t x t minors of a generic matrix. Interpreting these relations as polyn…
Equations Of Kalman Varieties
Hang Huang
The Kalman variety of a linear subspace is a vector space consisting of all endomorphisms that have an eigenvector in that subspace. We resolve a conjecture of Ottaviani and Sturmf…