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math.DG2026
A Thomas-Yau-Joyce result for Lagrangian spheres in K3 surfaces
Jacopo Stoppa
We consider objects in the Fukaya category of a class of K3 surfaces defined by certain Lagrangian spheres. Assuming that homological mirror symmetry for K3 surfaces holds with suf…
math.DG2026
Special Lagrangian smoothings, Calabi ansatz and stability conditions
Jacopo Stoppa
As part of his work on special Lagrangian (sLag) submanifolds with isolated conical singularities, Joyce proved a criterion for the existence of sLag smoothings, along a small vari…