5 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…
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…