Key Takeaways:Alibaba Group’s international e-commerce arm posted 32% revenue growth in its latest quarter, driven by strong performance for its cross-border businessesThe company’s diverse mix of cross-border and local e-commerce offerings presents big potential for more market expansionBy Teri Yu and Doug Young Times may be tough for e-commerce giant Alibaba Group Holding Ltd. (NYSE: BABA), as it battles stiff competition on its home turf in China. But the air looks much clearer for its separately run international arm, Alibaba International Digital Commerce Group (Alibaba International), wh…