CHICAGO  As Gov. Rod R. Blagojevich of Illinois continued to defy calls for his resignation on Friday, signing a bill into law and meeting at home with several ministers, the state attorney general, Lisa Madigan, made an emergency request to the State Supreme Court to remove him from power.

Ms. Madigan argued in court papers that “the pervasive nature and severity” of a federal corruption case against Mr. Blagojevich had rendered him “incapable of legitimately exercising his ability as governor.”

A spokesman for the Supreme Court declined to comment on the request. Made up of seven elected justices, the court is known to be a cautious body that is not keen on injecting itself into political matters. The court has discretion over whether to take up the case.

Mr. Blagojevich, a two-term Democrat, and his chief of staff, John Harris, were arrested on Tuesday on charges of conspiracy and soliciting bribes in a sprawling criminal case that involves, among other things, accusations that the two conspired to sell the Senate seat vacated by President-elect Barack Obama.