27 citations · 162 across the 26 of their papers we have counts for
36 papers
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…
Special Lagrangian sections and stability conditions on threefolds
Jacopo Stoppa
We study a class of Lagrangian submanifolds, given by sections of a special Lagrangian fibration, contained in certain almost Calabi-Yau threefolds (mirrors of polarised toric thre…
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…
Toric mirrors and test configurations
Jacopo Stoppa
We obtain results that relate Donaldson-Futaki type invariants (that is, the numerical invariants used to define K-stability for general polarised manifolds) for a toric polarised…
Some applications of canonical metrics to Landau-Ginzburg models
Jacopo Stoppa
It is known that a given smooth del Pezzo surface or Fano threefold admits a choice of log Calabi-Yau compactified mirror toric Landau-Ginzburg model (with respect to certain f…