3 papers
math.AG2025
Classification of indecomposable reflexive modules on quotient singularities through Atiyah--Patodi--Singer theory
José Antonio Arciniega Nevárez, José Luis Cisneros-Molina, Agustín Romano Velázquez
In [20] Esnault asked whether on a general quotient surface singularity the rank and the first Chern class distinguish isomorphism classes of indecomposable reflexive modules. Wunr…
math.AG2020
On the blow-up of a normal singularity at maximal Cohen-Macaulay modules
Agustín Romano Velázquez
Raynaud and Gruson developed the theory of blowing-up an algebraic variety along a coherent sheaf in the sense that there exists a blow-up of such that the "strict…
math.AG2018
Reflexive modules on normal Gorenstein Stein surfaces, their deformations and moduli
Javier Fernandez de Bobadilla, Agustin Romano Velazquez
In this paper we generalize Artin-Verdier, Esnault and Wunram construction of McKay correspondence to arbitrary Gorenstein surface singularities. The key idea is the definition and…