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math.AC2025
Symbolic Powers of Toric Ideals
Giuseppe Favacchio, Graham Keiper
This paper investigates the symbolic powers of toric ideals. We first describe them in terms of the kernel of certain linear maps derived from the lattice structure of the toric id…
math.AC2024
Comparability of the total Betti numbers of toric ideals of graphs
Giuseppe Favacchio
The total Betti numbers of the toric ideal of a simple graph are, in general, highly sensitive to any small change of the graph. In this paper we look at some combinatorial operati…