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math.AC2021
The -polynomial and the rook polynomial of some polyominoes
Manoj Kummini, Dharm Veer
Let be a convex polyomino such that its vertex set is a sublattice of . Let be the toric ring (over a field ) associated to in the sense of…
math.AC2021
On the linearity of the syzygies of Hibi rings
Dharm Veer
In this article, we prove necessary conditions for Hibi rings to satisfy Green-Lazarsfeld property for and . We also show that if a Hibi ring satisfies property $N_4…