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math.AC2024
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 combinatorial…
math.AC2024
On the minimal free resolution of the Rees algebra of tri-generated bivariate monomial ideals
Rodrigo Iglesias, Matthias Orth, Eduardo Sáenz-de-Cabezón +1
Let be a monomial ideal in two variables generated by three monomials and let be its Rees ideal. We describe an algorithm to compute the minimal generating set…