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math.AG2012★ 3 cited
A finiteness theorem for Lagrangian fibrations
Justin Sawon
We consider (holomorphic) Lagrangian fibrations X->P^n that satisfy some natural hypotheses. We prove that there are only finitely many such Lagrangian fibrations up to deformation…
math.DG2012★ 2 cited
Fourier-Mukai transforms, mirror symmetry, and generalized K3 surfaces
Justin Sawon
We study generalized complex structures on K3 surfaces, in the sense of Hitchin. For each real parameter t between one and infinity we exhibit two families of generalized K3 surfac…