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math.AC2023
Spherical complexes
Sara Faridi, Thiago Holleben
In this paper we define spherical complexes as simplicial complexes with the property that every subcomplex obtained by a sequence of links and deletions either has trivial homolog…
math.AC2023
The weak Lefschetz property and mixed multiplicities of monomial ideals
Thiago Holleben
Recently, H. Dao and R. Nair gave a combinatorial description of simplicial complexes such that the squarefree reduction of the Stanley-Reisner ideal of has the WLP in degr…
math.AC2023
The weak Lefschetz property of whiskered graphs
Susan M. Cooper, Sara Faridi, Thiago Holleben +2
We consider Artinian level algebras arising from the whiskering of a graph. Employing a result by Dao-Nair we show that multiplication by a general linear form has maximal rank in…