F. Cioffi

activity

20052026

most citedFlat families by strongly stable ideals and a generalization of Groebner bases

33 citations · 77 across the 21 of their papers we have counts for

collaborators

24 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.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.AC2025

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.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.AG2022

An effective decomposition theorem for Schubert varieties

Francesca Cioffi, Davide Franco, Carmine Sessa

Given a Schubert variety $S$ contained in a Grassmannian $G_{k} (C^{l})$ , we show how to obtain further information on the direct summands of the derived…

math.AC2022★ 2 cited

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