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In this note, we characterize polarized parallel transport operators on irreducible holomorphic symplectic varieties which are deformations of generalized Kummer varieties. We then apply such characterization to show the existence of ample uniruled divisors on these varieties and derive some interesting consequences on their Chow group of 0-cycles.

Polarized Parallel Transport and Uniruled Divisors on Deformations of Generalized Kummer Varieties