3 papers
math.AC2025
-Young complexes and squarefree powers of -path ideals
Francesco Navarra, Ayesha Asloob Qureshi, Dharm Veer
We introduce a new class of simplicial complexes, called \emph{-Young complexes}, arising from a Young diagram and a positive integer~. We show that every -Young complex i…
math.AC2025
When are Morse resolutions polyhedral?
Louis Bu, Sara Faridi, Iresha Madduwe Hewalage +5
It is known that the chain complex of a simplex on vertices can be used to construct a free resolution of any ideal generated by monomials, and as a direct result, the Bett…
math.AC2024
Polyominoes and Knutson ideals
Mitra Koley, Nirmal Kotal, Dharm Veer
In this article, we study two fundamental questions on polyomino ideals which are radicality and primality. In order to study the question of radicality, we initiate the study of K…