The film arm of e-commerce giant Alibaba Group said Wednesday it will invest in the next “Mission: Impossible” movie in its first Hollywood venture, adding to a flood of Chinese money into the global film business. Alibaba Pictures Group announced the agreement with Paramount Pictures. They gave no details of how much Alibaba would invest in “Mission: Impossible — Rogue Nation” but said they will collaborate in online ticketing, promotion in China and merchandising. Chinese companies have sealed a series of deals with Hollywood and other foreign production partners in an effort to capture more of the profits from China’s fast-growing market.