Cristina Bertone

activity

20242026

collaborators

4 papers

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 $K$ be a field and $A$ a Noetherian $K$ -algebra. In a paper of 2020, M. Albert, C. Bertone, M. Roggero and W. M. Seiler proved that, given a quasi-stable modu…

math.AG2025

Hyperflex loci of hypersurfaces

Cristina Bertone, Martin Weimann

The $k$ -flex locus of a projective hypersurface $V \subset P^{n}$ is the locus of points $p \in V$ such that there is a line with order of contact at least $k$ with $V$ at $p$ .…

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…