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math.AG2025
Categorical resolutions of curves and Bridgeland stability
Nicolás Vilches
Categorical resolutions of singularities are a replacement of resolution of singularities within the realm of triangulated categories. They allow the study of the derived category…
math.AG2025
Some examples of moduli spaces on surfaces via wall-crossing
Nicolás Vilches
We describe new explicit examples of moduli spaces of Bridgeland semistable objects on surfaces, parametrizing objects whose numerical class agrees with the class of a point. This…
math.AG2025
Stability conditions on surfaces and contractions of curves
Nicolás Vilches
We study Bridgeland stability conditions on smooth surfaces arising from birational morphisms to a singular surface. Assuming that has only ADE singularities or certa…