Résumé : In birational geometry, the study of the Cremona group (the set of the automorphisms of the projective spaces) is a very important issue.
By the Noether-Castelnuovo theorem we know a set of generators just for the Cremona group of the plane.
The aim of this seminar is to explain what is it a plane Cremona transformation.
In order to speak about it, I will give a small introduction to blow-ups and then some application like the contraction of some sets of lines.
I will focus on the geometric point of view with a lot of drawings, there won’t be too many calculation, I promise !
Lieu : Salle Picard (129-1R2)