A note on minimization of rational surfaces obtained from birational   dynamical systems
  In many cases rational surfaces obtained by desingularization of birational dynamical systems are not relatively minimal. We propose a method to obtain coordinates of relatively minimal rational surfaces by using blowing down structure. We apply this method to the study of various integrable or linearizable mappings, including discrete versions of reduced Nahm equations. 
Adrian Stefan Carstea, Tomoyuki Takenawa
math.DS math.AG nlin.SI