Asian shares rose on Thursday on investor hopes for China's emergence from the COVID-19 pandemic, while the dollar stayed under pressure even as the U.S. Federal Reserve had a warning against market bets on interest rate cuts this year. MSCI's broadest index of Asia-Pacific shares outside Japan rose 1% to touch a four-month high in morning trade. Japan's Nikkei bounced off a three-month low. China has abruptly dropped ultra-strict curbs on travel and activity, unleashing the virus on the nation's 1.4 billion people. Many funeral homes and hospitals say they are overwhelmed, but investors hope that once the infection waves…