A smooth complex rational affine surface with uncountably many real forms


Event details

Date 02.12.2021 10:1511:15  
Speaker Anna Bot (University of Basel)
Category Conferences - Seminars
Event Language English

A real form of a complex algebraic variety X is a real algebraic variety whose complexification is isomorphic to X. Many families of complex varieties have a finite number of nonisomorphic real forms, but up until recently no example with infinitely many had been found. In 2019, Lesieutre constructed a projective variety of dimension six with infinitely many nonisomorphic real forms, and this year, Dinh, Oguiso and Yu described projective rational surfaces with infinitely many as well. In this talk, I’ll present the first example of a rational affine surface having uncountably many nonisomorphic real forms.

Practical information

  • Informed public
  • Free


  • Christian Urech


  • Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)

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