3 papers
math.AC2026
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 combinatoria…
math.AC2026
Relative Gröbner bases of modules and applications in persistence theory
Fritz Grimpen, Matthias Orth, Anastasios Stefanou
Finitely generated modules over the polynomial ring in indeterminates are isomorphic to quotients of finite rank free modules. We introduce a theory of relative Gröbner bases…
math.AC2024
Cohen-Macaulay, Gorenstein and complete intersection conditions by marked bases
Cristina Bertone, Francesca Cioffi, Matthias Orth +1
Using techniques coming from the theory of marked bases, we develop new computational methods for detection and construction of Cohen-Macaulay, Gorenstein and complete intersection…