Real del Pezzo Surfaces without Points

G. N. Belousov

Bauman Moscow State Technical University, Moscow, Russia

Abstract: We consider a real del Pezzo surface without points. We prove that the same surface over the complex number field $\mathbb C$ has Picard number at least $2$.

Keywords: real surfaces, del Pezzo surfaces, log terminal singularities.

Received: December 16, 2024
Revised: January 16, 2025
Accepted: March 4, 2025

DOI: 10.4213/tm4458

 English version: Proceedings of the Steklov Institute of Mathematics, 2025, 329, 48–54

Bibliographic databases:

•