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math.AC2024★ 1 cited
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…
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…