“American Ballet Theater is announcing on Monday that it will establish a “Nutcracker” franchise at the Brooklyn Academy of Music in December 2010. The performances will go head to head with City Ballet’s longstanding “Nutcracker” run, the Balanchine version that has been around since 1954. To make matters more interesting, the Mark Morris company plans to stage its own run of Mr. Morris’s version, “The Hard Nut,” at the Brooklyn Academy, to close three days before the Ballet Theater version opens.”