Asian stock markets presented a mixed picture on Tuesday, with declines in Japan, Australia, and South Korea counterbalancing modest gains in Hong Kong. The Nikkei index fell by 0.5% to 52,163.84, while Hong Kong's Hang Seng index edged up 0.2% to 26,209.39. South Korea's Kospi index saw a significant drop of 2% to 4,138.88, reflecting global tech sector trends. On Wall Street, the S&P 500 increased by 0.2%, driven by strong performances from Nvidia and Amazon, which benefited from advancements in AI technology. This AI-driven rally in the U.S. markets influenced the mixed outcomes in Asian trading.