8 papers
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…
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…
A quantized Riemann-Hilbert problem in Donaldson-Thomas theory
Anna Barbieri, Tom Bridgeland, Jacopo Stoppa
We introduce Riemann-Hilbert problems determined by refined Donaldson-Thomas theory. They involve piecewise holomorphic maps from the complex plane to the group of automorphisms of…
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…
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…