"This is an ornament for the mind, a support for the mind" * - when the body has broken up after death, he reappears in the company of Brahma's Retinue. Then, having exhautsted that karma, that power, that status, that sovereignty, he is a non-returner. He does not come back to the world.
* This is explained as "the giving is part of one's cultivation or moral virtue as a suport for mental cultivation. With abundant moral virtue, it is easier for one to cultivate the mind. Conversely, if one finds difficulty in meditating then one should examine one's moral conduct and rectify any unwholesome habits or resolve negative thoughts.