Arka Ghosh

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20242026

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math.AC2026

Powers of Alexander Duals of Stanley-Reisner Ideals of Chessboard Complexes

Arka Ghosh, S. Selvaraja

Let $Δ_{m, n}$ be the chessboard complex, and let $J_{m, n}$ be the Stanley-Reisner ideal of its Alexander dual. We study the symbolic and ordinary powers of $J_{m, n}$ , focusing on t…

math.AC2026

Regularity of Squarefree Powers of Edge Ideals of Whiskered Cycles

Sanjoy Das, Arka Ghosh, S Selvaraja

Let $G$ be a finite simple graph and let $I (G)$ denote its edge ideal. For $q \geq 1$ , the $q$ -th squarefree power $I (G)^{[q]}$ is generated by squarefree monomials corresponding to…