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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
in a toric variety
we construct a Landau-Ginzburg model which is SYZ...
For every smooth complex projective variety
and nonnegative Kodaira dimension, we show the existence of a universal constant
depending only on
and two natural invariants of the very general fibres of an Iitaka fibration of
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