Aryaman Maithani

activity

20242026

most citedLinear quotients of connected ideals of graphs

1 citations · 1 across the 11 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.AC2024

Monomial ideals with minimal generalized Barile-Macchia resolutions

Trung Chau, Huy Tai Ha, Aryaman Maithani

We identify several classes of monomial ideals that possess minimal generalized Barile-Macchia resolutions. These classes of ideals include generic monomial ideals, monomial ideals…

math.AC2024

Splitting the difference: Computations of the Reynolds operator in classical invariant theory

Aryaman Maithani

If $G$ is a linearly reductive group acting rationally on a polynomial ring $S$ , then the inclusion $S^{G} ↪ S$ possesses a unique $G$ -equivariant splitting, called t…

math.AC2024

Minimal cellular resolutions of powers of graphs

Trung Chau, Tài Huy Hà, Aryaman Maithani

Let $G$ be a connected graph and let $I (G)$ denote its edge ideal. We classify when $I (G)^{n}$ , for $n \geq 1$ , admits a minimal Lyubeznik resolution. We also give a characterization…

math.AC2024★ 1 cited

Linear quotients of connected ideals of graphs

H. Ananthnarayan, Omkar Javadekar, Aryaman Maithani

As a higher analogue of the edge ideal of a graph, we study the $t$ -connected ideal $J_{t}$ . This is the monomial ideal generated by the connected subsets of size $t…