Explicit birational geometry over (im)perfect fields

par Julia Schneider (Université de Bourgogne)

jeudi 6 mars 2025, 16:00 → 17:00 Europe/Paris

Salle Pellos (1R2)

 

Sending (x,y) onto (1/x,1/y) is a typical example of a birational map. In this talk, I will speak about 'simple' surfaces (minimal del Pezzo surfaces) and about 'simple' birational maps between them (Sarkisov links). For perfect fields, they were studied in the 1980s by Iskovskikh. In a joint work with F. Bernasconi, A. Fanelli and S. Zimmermann, we develop the theory for imperfect fields. In this talk, I will focus on differences for algebraically closed / perfect / imperfect fields, and give many examples.