sentences:  The controversy would ultimately be resolved after the Civil War in the form of the Alabama Claims, in which the United States finally was given $15.5 million in arbitration by an international tribunal for damages caused by British-built warships.Emperor Napoleon III of France sought to re-establish a French empire in North America, with Mexico at the center of an empire that he hoped would eventually include a canal across Central America.In December 1861, France invaded Mexico.