Seminar Algebra and Geometry: Frederic Han (Paris 7)

On birational transformations of P3 of low degree

After a short introduction to birational transformations of a projective space, we will focus on the case of P3. Few is known about birational transformations of P3 and the case of degree 3 is already difficult. To explain how things differ in larger degree it is natural to look at transformations of bidegree (4,4). In this talk we detail families of examples in degree 3 and bidegree (4,4) to illustrate this opposition. (Joint work with J. Déserti)

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