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In this note we characterize polarized parallel transport operators onirreducible holomorphic symplectic varieties which are deformations ofgeneralized Kummer varieties. We then apply such characterization to show theexistence of ample uniruled divisors on these varieties and derive someinteresting consequences on their Chow group of 0-cycles.

Polarized parallel transport and uniruled divisors on deformations of generalized Kummer varieties