27 citations · 162 across the 26 of their papers we have counts for
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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…
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…
Nakai-Moishezon criteria and the toric Thomas-Yau conjecture
Jacopo Stoppa
We consider a class of Lagrangian sections contained in certain Calabi-Yau Lagrangian fibrations (mirrors of toric weak Fano manifolds). We prove that a form of the Thomas-Yau…
Special representatives of complexified Kähler classes
Carlo Scarpa, Jacopo Stoppa
Motivated by constructions appearing in mirror symmetry, we study special representatives of complexified Kähler classes, which extend the notions of constant scalar curvature and…
Examples of dHYM connections in a variable background
Enrico Schlitzer, Jacopo Stoppa
We study deformed Hermitian Yang-Mills (dHYM) connections on ruled surfaces explicitly, using the momentum construction. As a main application we provide many new examples of dHYM…
The HcscK equations in symplectic coordinates
Carlo Scarpa, Jacopo Stoppa
The Donaldson-Fujiki Kähler reduction of the space of compatible almost complex structures, leading to the interpretation of the scalar curvature of Kähler metrics as a moment map,…