3 papers
math.AC2025
From points to complexes: a concept of unexpectedness for simplicial complexes
Thiago Holleben
In 2018, Cook, Harbourne, Migliore and Nagel introduced the concept of unexpected hypersurfaces, which connects the study of Lefschetz properties of artinian algebras defined by po…
math.AC2025
Realizing resolutions of powers of extremal ideals
Trung Chau, Art M. Duval, Sara Faridi +3
Extremal ideals are a class of square-free monomial ideals which dominate and determine many algebraic invariants of powers of all square-free monomial ideals. For example, the $r^…
math.AC2025
Coinvariant stresses, Lefschetz properties and random complexes
Thiago Holleben
Lefschetz properties and inverse systems have played key roles in understanding the -vector of simplicial spheres. In 1996, Lee established connections between these two algebra…