Algebraic surfaces with minimal Betti numbers - JongHae Keum - ICM2018

Algebraic and Complex Geometry
Invited Lecture 4.14
Algebraic surfaces with minimal Betti numbers
JongHae Keum
Abstract: These are algebraic surfaces with the Betti numbers of the complex projective plane, and are called
ℚ-homology projective planes. Fake projective planes and the complex projective plane are smooth examples. We describe recent progress in the study of such surfaces, singular ones and fake projective planes. We also discuss open questions.
© International Congress of Mathematicians - ICM
www.icm2018.org
Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemática Pura e Aplicada, sendo vedada a utilização total ou parcial do conteúdo sem autorização prévia e por escrito do referido titular, salvo nas hipóteses previstas na legislação vigente.
The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation.