Agustín Romano-Velázquez

collaborators

3 papers

math.DG2023

Cheeger-Chern-Simons classes of representations of finite subgroups of $SL (2, C)$ and the spectrum of rational double point singularities

José Antonio Arciniega-Nevárez, José Luis Cisneros-Molina, Agustín Romano-Velázquez

Let $L$ be a compact oriented $3$ -manifold and $ρ : π_{1} (L) \to GL (n, C)$ a representation. Evaluating the Cheeger-Chern-Simons class $\widehat{c}_{ρ,k}\in H^{2k-…

math.AG2023

The classification of reflexive modules of rank one over rational and minimally elliptic singularities

András Némethi, Agustín Romano-Velázquez

We classify the reflexive modules of rank one over rational and minimally elliptic singularities. Equivalently, we classify full line bundles on the resolutions of rational and min…

math.AG2023

Matrix factorization for quasi-homogeneous singularities

Ananyo Dan, Agustín Romano-Velázquez

Given an isolated, quasi-homogeneous singularity $X$ we prove that there is a group isomorphism between the group of rank one reflexive sheaves on $X$ and the free abelian group ge…

Cheeger-Chern-Simons classes of representations of finite subgroups of SL(2,C) and the spectrum of rational double point singularities

The classification of reflexive modules of rank one over rational and minimally elliptic singularities

Matrix factorization for quasi-homogeneous singularities

Cheeger-Chern-Simons classes of representations of finite subgroups of $SL (2, C)$ and the spectrum of rational double point singularities