4 citations · 8 across the 8 of their papers we have counts for
9 papers
The Waldschmidt constant of special fat flat subschemes in ]{The Waldschmidt constant of special fat flat subschemes in
Hassan Haghighi, Mohammad Mosakhani
The purpose of this paper is to construct some special kind of subschemes in with , which we call them "fat flat subschemes" and compute their Waldschmidt c…
The weak Lefschetz property of a special class of Artinian algebras over fields of positive characteristic
Hassan Haghighi, Sepideh Tashvighi
In this paper, we study the dependence of the weak Lefschetz property of algebras defined by a special class of monomials ideals in a polynomial ring with coefficient in a field, t…
On the fattening of ACM arrangements of codimension 2 subspaces in P^N
Mohammad Zaman Fashami, Hassan Haghighi, Tomasz Szemberg
In the present note we study configurations of codimension 2 flats in projective spaces and classify those with the smallest rate of growth of the initial sequence. Our work extend…
Containment problem for the quasi star configurations of points in
Hassan Haghighi, Mohammad Mosakhani
In this paper, the containment problem for the defining ideal of a special type of zero dimensional subschemes of , so called quasi star configurations, is investigat…
Cohen-Macaulay lexsegment complexes in arbitrary codimension
Hassan Haghighi, Siamak Yassemi, Rahim Zaare-Nahandi
We characterize pure lexsegment complexes which are Cohen-Macaulay in arbitrary codimension. More precisely, we prove that any lexsegment complex is Cohen-Macaulay if and only if i…
Cohen-Macaulay-ness in codimension for bipartite graphs
Hassan Haghighi, Siamak Yassemi, Rahim Zaare-Nahandi
Let be an unmixed bipartite graph of dimension . Assume that , with , is a maximal complete bipartite subgraph of of minimum dimension. Then is Co…
Sequentially simplicial complexes and sequentially graphs
Hassan Haghighi, Naoki Terai, Siamak Yassemi +1
We introduce sequentially modules over a commutative graded ring and sequentially simplicial complexes. This generalizes two properties for modules and simplicial compl…
Bipartite graphs are Cohen-Macaulay
Hassan Haghighi, Siamak Yassemi, Rahim Zaare-Nahandi
In this paper we show that if the Stanley-Reisner ring of the simplicial complex of independent sets of a bipartite graph satisfies Serre's condition , then is Cohen-M…
A generalization of -Cohen-Macaulay complexes
Hassan Haghighi, Rahim Zaare-Nahandi, Siamak Yassemi
For a positive integer and a non-negative integer a class of simplicial complexes, to be denoted by -, is introduced. This class generalizes two notions for…