Conditional proof of semiampleness for nef non-big line bundles on hyperkahler manifolds via deformation invariance, established through a new Teichmuller space parametrizing pairs (M,L) and a global Torelli theorem for it.
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The abundance and SYZ conjectures in families of hyperkahler manifolds
Conditional proof of semiampleness for nef non-big line bundles on hyperkahler manifolds via deformation invariance, established through a new Teichmuller space parametrizing pairs (M,L) and a global Torelli theorem for it.