2 papers
math.AC2026
Betti Tables and the Licci Property
Adam Boocher
We show that the licci property of an ideal cannot, in general, be determined from its Betti table by exhibiting two -primary monomial ideals containing the cubes the…
math.AC2025
Arithmetic in the Boij Söderberg Cone
Adam Boocher, Noah Huang, Harrison Wolf
We study two long-standing conjectures concerning lower bounds for the Betti numbers of a graded module over a polynomial ring. We prove new cases of these conjectures in codimensi…