14 citations · 57 across the 15 of their papers we have counts for
19 papers
Forcing the weak Lefschetz property for equigenerated monomial ideals
Nasrin Altafi, Samuel Lundqvist
We classify the minimal number of generators of artinian equigenerated monomial ideals such that is forced to have the weak Lefschetz property.
On binomial complete intersections
Filip Jonsson Kling, Samuel Lundqvist, Lisa Nicklasson
We consider homogeneous binomial ideals in , where and . When such an ideal is a complete inte…
Monomial ideals and the failure of the Strong Lefschetz property
Nasrin Altafi, Samuel Lundqvist
We give a sharp lower bound for the Hilbert function in degree of artinian quotients failing the Strong Lefschetz property, where is a monomial id…
A classification of the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms
Mats Boij, Samuel Lundqvist
We use Macaulay's inverse system to study the Hilbert series for almost complete intersections generated by uniform powers of general linear forms. This allows us to give a classif…
On decomposing monomial algebras with the Lefschetz properties
Oleksandra Gasanova, Samuel Lundqvist, Lisa Nicklasson
We introduce a general technique for decomposing monomial algebras which we use to study the Lefschetz properties. We apply our technique to various classes of algebras, including…
On ideals generated by two generic quadratic forms in the exterior algebra
Veronica Crispin Quiñonez, Samuel Lundqvist, Gleb Nenashev
Based on the structure theory of pairs of skew-symmetric matrices, we give a conjecture for the Hilbert series of the exterior algebra modulo the ideal generated by two generic qua…
On generic principal ideals in the exterior algebra
Samuel Lundqvist, Lisa Nicklasson
We give a lower bound on the Hilbert series of the exterior algebra modulo a principal ideal generated by a generic form of odd degree and disprove a conjecture by Moreno-Socías an…
Algebraic stories from one and from the other pockets
Ralf Fröberg, Samuel Lundqvist, Alessandro Oneto +1
We present a number of questions in commutative algebra posed on the problem solving seminar in algebra at Stockholm University during the period Fall 2014 - Spring 2017.
On generic and maximal k-ranks of binary forms
Samuel Lundqvist, Alessandro Oneto, Bruce Reznick +1
In what follows, we pose two general conjectures about decompositions of homogeneous polynomials as sums of powers. The first one (suggested by G. Ottaviani) deals with the generic…
Extremal Hilbert series
Ralf Fröberg, Samuel Lundqvist
Given an ideal of forms in an algebra (polynomial ring, tensor algebra, exterior algebra, Lie algebra, bigraded polynomial ring), we consider the Hilbert series of the factor ring.…
Software for doing computations in graded Lie algebras
Clas Löfwall, Samuel Lundqvist
We introduce the Macaulay2 package GradedLieAlgebras for doing computations in graded Lie algebras presented by generators and relations.
Powers of generic ideals and the weak Lefschetz property for powers of some monomial complete intersections
Mats Boij, Ralf Fröberg, Samuel Lundqvist
Given an ideal in generated by forms of degree , and an integer , how large can the ideal be, i.e., how small can the…
On the structure of monomial complete intersections in positive characteristic
Samuel Lundqvist, Lisa Nicklasson
In this paper we study the Lefschetz properties of monomial complete intersections in positive characteristic. We give a complete classification of the strong Lefschetz property wh…
A Gorenstein numerical semi-group ring having a transcendental series of Betti numbers
Clas Löfwall, Samuel Lundqvist, Jan-Erik Roos
We prove in particular that the Gorenstein numerical semigroup ring generated by (36,48,50,52,56,60,66,67,107,121,129,135) has a transcendental series of Betti numbers. The methods…
Boolean ideals and their varieties
Samuel Lundqvist
We consider ideals in the ring that contain the polynomials for and give various results related to the one-to-one…
Non-vanishing forms in projective space over finite fields
Samuel Lundqvist
We consider a subset of projective space over a finite field and give bounds on the minimal degree of a non-vanishing form with respect to this subset.
Multiplication matrices and ideals of projective dimension zero
Samuel Lundqvist
We introduce the concept of multiplication matrices for ideals of projective dimension zero. We discuss various applications and in particular, we give a new algorithm to compute t…
Complexity of comparing monomials and two improvements of the BM-algorithm
Samuel Lundqvist
We give a new algorithm for merging sorted lists of monomials. Together with a projection technique we obtain a new complexity bound for the BM-algorithm.
Vector space bases associated to vanishing ideals of points
Samuel Lundqvist
We discuss four different constructions of vector space bases associated to vanishing ideals of points. We show how to compute normal forms with respect to these bases and give new…