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math.AC2026
Homogeneous Border Bases on Infinite Order Ideals
Cristina Bertone, Sofia Bovero
Border bases are traditionally restricted to 0-dimensional ideals due to the finiteness of the underlying order ideal. In this paper we extend the theory to homogeneous ideals of p…
math.AC2025
Free resolutions and marked families
Cristina Bertone, Francesca Cioffi, Paolo Lella
Let be a field and a Noetherian -algebra. In a paper of 2020, M. Albert, C. Bertone, M. Roggero and W. M. Seiler proved that, given a quasi-stable modu…
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…