Automorphisms of quartic surfaces and Cremona transformations

7 Oct 2025, 15:00
1h
Littoral Hotel

Littoral Hotel

João Pessoa, Brazil

Speaker

Carolina Araujo (IMPA, Brazil)

Description

In this talk, I will address 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?'' Corti and Kaloghiros have introduced a general framework that is extremely useful for approaching this problem, namely, a special version of the Sarkisov program for Calabi-Yau pairs. I will report on recent progress on Gizatullin’s problem obtained using this theory, in collaborations with Alessio Corti and Alex Massarenti, and with Daniela Paiva and Sokratis Zikas.

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