2 citations · 3 across the 4 of their papers we have counts for
5 papers
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 f…
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…
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…
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…
Open Covers and Lex Points of Hilbert schemes over quotient rings via relative marked bases
Cristina Bertone, Francesca Cioffi, Matthias Orth +1
We introduce the notion of a relative marked basis over quasi-stable ideals, together with constructive methods and a functorial interpretation, developing computational methods fo…