An interesting wall-crossing: failure of the wall-crossing/MMP correspondence
Fatemeh Rezaee
Abstract:We introduce a novel wall-crossing phenomenon in the space of Bridgeland stability conditions: a wall in the stability space of canonical genus 4 curves that induces non-Q-factorial singularities and hence, it cannot be detected as an operation in the Minimal Model Program of the corresponding moduli space, unlike the case for many surfaces. More precisely, we give an example of a wall-crossing in $$\textrm{D}^{b}(\mathbb {P}^{3})$$
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