G. N. Belousov, “Real del Pezzo surfaces without points”, Trudy Matematicheskogo Instituta imeni V.A. Steklova

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Trudy Matematicheskogo Instituta imeni V.A. Steklova

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Trudy Matematicheskogo Instituta imeni V.A. Steklova, Forthcoming paper (Mi tm4458)

Real del Pezzo surfaces without points

G. N. Belousov

Bauman Moscow State Technical University

Abstract: We consider a real del Pezzo surface without points. We prove that the same surface over complex numbers field

$\mathbb{C}$ has Picard number at least two.

Keywords: Real surfaces, del Pezzo surfaces, log terminal singularities

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

Document Type: Article

MSC: 14J26, 14J45, 14P05

Language: Russian

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https://www.mathnet.ru/eng/tm4458

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