6 papers
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…
Preserving Lefschetz properties after extension of variables
Filip Jonsson Kling
Consider a standard graded artinian -algebra and an extension of by a new variable, for some . We will show how maximal rank propertie…
The strong Lefschetz property for quadratic reverse lexicographic ideals
Filip Jonsson Kling
Consider ideals of the form \[ I=(x_1^2,\dots, x_n^2)+\mathrm{RLex}(x_ix_j) \] where is the ideal generated by all the square-free monomials which are g…
On the Rees algebra and the conductor of an ideal
Oleksandra Gasanova, Jürgen Herzog, Filip Jonsson Kling +1
For an ideal in a Noetherian ring , we introduce and study its conductor as a tool to explore the Rees algebra of . The conductor of is an ideal obtai…