Most of the discussion about habeas corpus as it applies to Gitmo concerns this case:



Algerian Six

"The Algerian Six are six Muslim men who had been imprisoned without charges at Guantanamo Bay Naval Base in Guantanamo Bay, Cuba since January 2002; five of them were ordered released after a long disputed habeas hearing before Judge Leon in the Federal District Court in Washington, D.C.; three were then flown to Bosnia to reunite in 'protective custody' with their families while three remained at Guantanamo, one, Belkacem, as a suspected terrorist and the other two, including Lakhmar Boumediene, as effectively stateless because Bosnia did not want them. The men were all born in Algeria, but five of the six were naturalized Bosnian citizens and the sixth had been a permanent resident of Bosnia prior to his detention. Five of the men worked for humanitarian organizations in Bosnia before they were sent to Guantanamo. After falling under U.S. suspicion of planning an attack on the U.S. embassy in Bosnia, the six men were turned over to the U.S. in January 2002 in Sarajevo by the government of Bosnia and Herzegovina at the express demand of the U.S. Though they have remained imprisoned at Guantanamo since that date, the U.S. has yet to charge any of the men with any crimes.

The six men were formally arrested by Bosnian authorities in October 2001. They were held in Bosnian custody during a three-month investigation into U.S. claims that the men had plotted an attack on the U.S. and British Embassies..."