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

TL;DR

This paper characterizes polarized parallel transport operators on deformations of generalized Kummer varieties and demonstrates the existence of ample uniruled divisors, impacting their Chow groups of 0-cycles.

Contribution

It provides a new characterization of polarized parallel transport operators and proves the existence of uniruled divisors on these varieties.

Findings

Existence of ample uniruled divisors on deformations of generalized Kummer varieties.

Characterization of polarized parallel transport operators.

Implications for the Chow group of 0-cycles.

Abstract

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.