Hang Huang

activity

20172020

collaborators

4 papers

math.AG2020

Minimal Set of Generators of Ideals Defining Nilpotent Orbit Closures

Hang Huang

Over a field of characteristic $0$ , we construct a minimal set of generators of the defining ideals of closures of nilpotent conjugacy class in the set of $n \times n$ matrices. Th…

math.AC2020

Syzygies of Determinantal Thickenings

Hang Huang

Let $S = C [x_{i, j}]$ be the ring of polynomial functions on the space of $m \times n$ matrices, and consider the action of the group $\mathbf{GL} = \mathbf{GL}_m \times \m…

math.AG2019

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…

math.AC2017

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…