Transformations birationnelles de petit degré

  title={Transformations birationnelles de petit degr{\'e}},
  author={Dominique Cerveau and Julie D'eserti},
Since the end of the XIXth century, we know that each birational map of the complex projective plane is the product of a finite number of quadratic birational maps of the projective plane; this motivates our work which essentially deals with these quadratic maps. We establish algebraic properties such as the classification of one parameter groups of quadratic birational maps or the smoothness of the set of quadratic birational maps in the set of rational maps. We prove that a finite number of… CONTINUE READING