An active week for Eminem: On Monday — less than a week after the Grammy-winning rapper sought to end his 14-month marriage to Kim Mathers — his estranged wife sued him for $10 million and claimed that he was unfit to handle even partial custody of their 4-year-old daughter. In her legal papers, filed in Michigan’s Macomb County Circuit Court, Kim Mathers addressed the collapse of the couple’s marriage, which apparently broke down for good with Eminem’s arrest on June 4 outside a suburban Detroit nightclub. Police say he used an unloaded gun to assault a man kissed by Kim. (Kim has since claimed that she gave an acquaintance an innocent peck on the cheek.) According to her legal papers, the couple separated that day and, since then, Eminem (whose real name is Marshall Bruce Mathers III) has spent only three nights at the couple’s home. The $10 million request stems from Eminem’s on-stage antics (with an effigy of Kim) and the lyrics of his song “Kim,” which “depicts horrific domestic violence against the wife, resulting in her grisly murder,” say her legal papers. The rapper’s manager, Paul Rosenberg, told the Detroit Free Press that Kim Mathers’s charges are without merit, and “songs like that are protected by artistic expression.”