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Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces
Lagrangian fibrations blowups of toric varieties mirror symmetry hypersurfaces Algebraic Geometry
2012/5/9
We consider mirror symmetry for (essentially arbitrary) hypersurfaces in (possibly noncompact) toric varieties from the perspective of the Strominger-Yau-Zaslow (SYZ) conjecture. Given a hypersurface ...
U(1)-invariant special Lagrangian 3-folds in {\mathbb C}3 and special Lagrangian fibrations
U(1)-invariant special Lagrangian 3-folds special Lagrangian fibrations
2010/3/1
This is a survey of the author's series of three papers [8, 9, 10] on special Lagrangian 3-folds (SL 3-folds) in {\mathbb C}3 invariant under the U(1)-action (z1,z2,z3)eiqz1, e-iqz2,z3), and their seq...