Asian shares make cautious gains, capped by fresh oil woes

TOKYO/NEW YORK (Reuters) - Most Asian shares ground higher while U.S. stock futures fell on Tuesday amid choppy trade as a renewed decline in oil prices partially offset optimism about the easing of coronavirus-related restrictions.MSCI's broadest index of Asia-Pacific shares outside Japan was down 0.2%. Shares in China rose 0.65%. South Korean shares gained 0.4%, but shares in Japan were little changed.Euro Stoxx 50 futures were up 0.25%, German DAX futures climbed 0.42%, and FTSE futures..