Rosa M. Miró-Roig

collaborators

13 papers

math.AG2026

Monodromy of plane curve singularities and quiver mutation

Roger Casals

The main result of this article shows that the quiver mutation class of a malleable real Morsification uniquely determines the integral monodromy module of a plane curve singularit…

math.AC2025

Jordan type of full Perazzo algebras

Pedro Macias Marques, Rosa M. MirÃ³-Roig, Josep PÃ©rez

In this paper, we compute all possible Jordan types of linear forms $ℓ$ in any full Perazzo algebra $A$ . In some cases we are also able to compute the corresponding Jordan degre…

math.AG2025

Characterization of linear spaces of matrices of constant rank from syzygy bundles

Simone Marchesi, Rosa Maria MirÃ³-Roig

In this work, we characterize matrices of linear forms and constant rank, demonstrating that, under some natural assumptions, they are always associated with a syzygy bundle that f…

math.AG2025

Smoothings of lci proper schemes

Barbara Fantechi, Rosa M. MirÃ³-Roig

We give criteria for the existence of geometric smoothings of a proper lci scheme or a DM stack $X$ as well as for a polarized lci scheme $(X, L)$ , without assuming that $X$ is redu…

math.AG2025

Schur powers of the cokernel of a graded morphism

Jan O. Kleppe, Rosa M. MirÃ³-Roig

Let $I ¨ : F ⟶ G$ be a graded morphism between free $R$ -modules of rank $t$ and $t + c - 1$ , respectively, and let $I_{j} (I ¨ )$ be the ideal generated by the $j \times j$ minor…

math.AG2025

Quasi-homogeneous singularities of projective hypersurfaces and Jacobian syzygies

Aline V. Andrade, Valentina Beorchia, Alexandru Dimca +1

We prove an unexpected general relation between the Jacobian syzygies of a projective hypersurface $V \subset P^{n}$ with only isolated singularities and the nature of its si…