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math.AG2023
Deformations and Simultaneous Resolution of Determinantal Surfaces
Brian Makonzi
This paper uses reconstruction algebras to construct simultaneous resolution of determinantal surfaces. The main new difference to the classical case is that, in addition to the qu…
math.AG2022
The Artin Component and Simultaneous Resolution via Reconstruction Algebras of Type
Brian Makonzi
This paper uses noncommutative resolutions of non-Gorenstein singularities to construct classical deformation spaces, by recovering the Artin component of the deformation space of…