Towards generic base-point-freeness for hyperk\"ahler manifolds of generalized Kummer type
Abstract
We study base-point-freeness for big and nef line bundles on hyperk\"ahler manifolds of generalized Kummer type: For n∈ \2,3,4\, we show that, generically in all but a finite number of irreducible components of the moduli space of polarized Kumn-type varieties, the polarization is base-point-free. We also prove generic base-point-freeness in the moduli space in all dimensions if the polarization has divisibility one.
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