Rosa M. Miró-Roig

collaborators

3 papers

math.AC2025

New families of Artinian Gorenstein algebras with the weak Lefschetz property

Nasrin Altafi, Rodica Dinu, Shreedevi K. Masuti +3

We construct new families of Artinian Gorenstein graded $K$ -algebras of arbitrary codimension having binomial Macaulay dual generators and satisfying the weak or the strong Lefsche…

math.AG2025

Saito's theorem revisited and application to free pencils of hypersurfaces

Roberta Di Gennaro, Rosa Maria Miró-Roig

A hypersurface $X \subset P^{n}$ is said to be free if its associated sheaf $T_{X}$ of vector fields tangent to $X$ is a free $O_{P^{n}}$ -module. So far few exa…

math.AC2025

Betti numbers of full Perazzo algebras

Rosa Maria Miró-Roig, Josep Pérez

In this paper we prove that any full Perazzo algebra $A_{F}$ , whose Macaulay dual generator is a Perazzo form $F \in K [X_{0}, \dots, X_{n}, U_{1}, \dots, U_{m}]_{d}$ with $n + 1 = (m - 1 d + m - 2)$ ,…