Some examples of moduli spaces on surfaces via wall-crossing

Nicolás Vilches

公開日: 2025/9/12

Abstract

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 follows ideas of Tramel and Xia, using stability conditions constructed in our previous work. Our main technical tools are a careful analysis of the wall-crossing from the geometric chamber, and explicit models for the differential graded Lie algebra governing the local structure of the moduli spaces.

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