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math.AC2026
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…
math.AC2026
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…
math.AC2026
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…