4 papers
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 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…
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…
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 combinatorial…