F. Cioffi

activity

20242026

collaborators

4 papers

math.AC2026

Enumerating finite O-sequences: sub-Fibonacci behavior and growth estimates

Francesca Cioffi, Margherita Guida, Enrica Pirozzi

Let $O_{d}$ denote the number of finite $O$ -sequences of multiplicity $d$ , namely the Hilbert functions of standard graded Artinian quotients of polynomial rings over a field. Starti…

math.AC2026

Counting finite $O$ -sequences of a given multiplicity

Francesca Cioffi, Margherita Guida

We study the number $O_{d}$ of finite $O$ -sequences of a given multiplicity $d$ , with particular attention to the computation of $O_{d}$ . We show that the sequence $(O_{d})_{d}$ is sub-Fib…

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.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…

Enumerating finite O-sequences: sub-Fibonacci behavior and growth estimates

Counting finite O-sequences of a given multiplicity

Free resolutions and marked families

Cohen-Macaulay, Gorenstein and complete intersection conditions by marked bases

Counting finite $O$ -sequences of a given multiplicity