Matthias Orth

activity

20222026

most citedOpen Covers and Lex Points of Hilbert schemes over quotient rings via relative marked bases

2 citations · 3 across the 4 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

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 $(x_{1}^{2}, \dots, x_{n}^{2}, (x_{1} + \dots + x_{n})^{k})$ , we compute their reduced Gröbner basis for any term ordering, revealing a combinatorial…

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 $I$ be a monomial ideal in two variables generated by three monomials and let $R (I)$ be its Rees ideal. We describe an algorithm to compute the minimal generating set…