Hailong Dao

collaborators

3 papers

math.AC2025

Componentwise Linear Ideals From Sums

Hailong Dao, Sreehari Suresh-Babu

Let $I, J$ be componentwise linear ideals in a polynomial ring $S$ . We study necessary and sufficient conditions for $I + J$ to be componentwise linear. We provide a complete characte…

math.CO2025

Covering points with planes

Hailong Dao, Manik Dhar, Izabella Åaba +1

Suppose that each proper subset of a set $S$ of points in a vector space is contained in the union of planes of specified dimensions, but $S$ itself is not contained in any such un…

math.AC2024

Betti numbers and linear covers of points

Hailong Dao, Ben Lund, Sreehari Suresh-Babu

We prove that for a finite set of points $X$ in the projective $n$ -space over any field, the Betti number $I^_{n, n + 1}^{2}$ of the coordinate ring of $X$ is non-zero if and only if $X$ …