6 citations · 9 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
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…