6 papers
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…
Gröbner bases, resolutions, and the Lefschetz properties for powers of a general linear form in the squarefree algebra
Filip Jonsson Kling, Samuel Lundqvist, Fatemeh Mohammadi +2
For the almost complete intersection ideals , we compute their reduced Gröbner basis for any term ordering, revealing a combinatoria…
On maximal rank properties for symmetric polynomials in an equigenerated monomial complete intersection
Filip Jonsson Kling, Samuel Lundqvist
It is well known that a monomial complete intersection has the strong Lefschetz property in characteristic zero. This property is equivalent to the statement that any power of the…
The Gröbner basis for powers of a general linear form in a monomial complete intersection
Filip Jonsson Kling, Samuel Lundqvist, Fatemeh Mohammadi +1
We study almost complete intersection ideals in a polynomial ring, generated by powers of all the variables together with a power of their sum. Our main result is an explicit descr…
On the initial ideal of a generic artinian Gorenstein algebra
Mats Boij, LuÃs 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…