Theorem of the cube Theorem of the cube In mathematics, the theorem of the cube is a condition for a line bundle over a product of three complete varieties to be trivial. It was a principle discovered, in the context of linear equivalence, by the Italian school of algebraic geometry. The final version of the theorem of the cube was first published by , who credited it to André Weil. A discussion of the history has been given by . A treatment by means of sheaf cohomology, and description in terms of the Picard functor, was given by . The theorem states that for
Edmund Root as the first commanding officer of . In the 1940s, he headed the naval officer procurement program in Chicago, where he oversaw the area's initial WAVES program. Root served as Naval Governor of Guam from May 15, 1931 to June 21, 1933. Root caused controversy between the United States and Japanese governments in 1933 when he expelled 112 Japanese citizens from Guam after their residence permits expired. The Guam Museum opened during his term. The Edmund S. Root Agricultural School in Guam is named in his honor. Edmund Root Edmund Spence Root (December 27, 1881 – February 27, 1961) was