C. Araujo - Automorphisms of quartic surfaces and Cremona transformations 1 | Vidéo

C. Araujo - Automorphisms of quartic surfaces and Cremona transformations 1

Appears in collection : Summer School 2025 - Cremona Group

In this talk\, I will discuss the following question\, attributed to Gizatullin: "Which automorphisms of a smooth quartic surface in projective 3-space are restrictions of Cremona transformations of the ambient space?'' I will present a general framework that can be used to study this problem\, namely a special "volume preserving" version of the Sarkisov program\, and report on recent progress obtained in collaboration with A. Corti and A. Massarenti and D. Paiva and S. Zikas.