127 citations · 168 across the 19 of their papers we have counts for
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On the Hilbert series of ideals generated by general linear forms
Mats Boij, Samuel Lundqvist
We determine the Hilbert series of ideals generated by 'th powers of general linear forms in variables, to give upper bounds on the degree of the Hilbert series of ide…
Independence of generic forms and the Fröberg conjecture
Mats Boij, Eric Dannetun, Samuel Lundqvist
We show that the Fröberg conjecture holds in the second non-trivial degree for an ideal generated by generic forms of degree . We also show that the conjecture is true up to d…
On the initial ideal of a generic artinian Gorenstein algebra
Mats Boij, Luís Duarte, Samuel Lundqvist
In this note we show that the initial ideal of the annihilator ideal of a generic form is generated by the largest possible monomials in each degree. We also show that the initial…
Identifying Partitions with maximum commuting orbit
Mats Boij, Anthony Iarrobino, Leila Khatami
The authors here show that the partition in the table of partitions having maximal nilpotent commutator a given stable partition , defined in [IKVZ2…
Jordan Type stratification of spaces of commuting nilpotent matrices
Mats Boij, Anthony Iarrobino, Leila Khatami
An nilpotent matrix is determined up to conjugacy by a partition of , its Jordan type given by the sizes of its Jordan blocks. The Jordan type $\mathfrak D…
The weak Lefschetz property for artinian Gorenstein algebras of small Sperner number
Mats Boij, Juan C. Migliore, Rosa Maria Miró-Roig +1
For artinian Gorenstein algebras in codimension four and higher, it is well known that the Weak Lefschetz Property (WLP) does not need to hold. For Gorenstein algebras in codimensi…