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math.AC2025
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…
math.AC2025
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…