Graham Keiper

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math.AC2025

Splittings of Ideals of Points in $P^{1} \times P^{1}$

Elena Guardo, Graham Keiper, Adam Van Tuyl

Let $I_{X}$ be the bihomogeneous ideal of a finite set of points $X \subseteq P^{1} \times P^{1}$ . The purpose of this note is to consider ``splitting…

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…

Splittings of Ideals of Points in P1×P1

Symbolic Powers of Toric Ideals

Splittings of Ideals of Points in $P^{1} \times P^{1}$