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 $(x_1^2,\dots ,x_n^2,(x_1+\cdots +x_n{)}^k)$, we compute their reduced Gröbner basis for any term ordering, revealing a combinatorial…