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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2025, Volume 329, Pages 56–62
DOI: https://doi.org/10.4213/tm4458
(Mi tm4458)
 

Real del Pezzo Surfaces without Points

G. N. Belousov

Bauman Moscow State Technical University, Moscow, Russia
References:
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.
Funding agency
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Received: December 16, 2024
Revised: January 16, 2025
Accepted: March 4, 2025
Published: 03.09.2025
English version:
Proceedings of the Steklov Institute of Mathematics, 2025, Volume 329, Pages 48–54
DOI: https://doi.org/10.1134/S0081543825600644
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. N. Belousov, “Real del Pezzo Surfaces without Points”, Birational Geometry and Fano Varieties, Collected papers. Dedicated to Yuri Gennadievich Prokhorov on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 329, Steklov Math. Inst., Moscow, 2025, 56–62; Proc. Steklov Inst. Math., 329 (2025), 48–54
Citation in format AMSBIB
\Bibitem{Bel25}
\by G.~N.~Belousov
\paper Real del Pezzo Surfaces without Points
\inbook Birational Geometry and Fano Varieties
\bookinfo Collected papers. Dedicated to Yuri Gennadievich Prokhorov on the occasion of his 60th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2025
\vol 329
\pages 56--62
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4458}
\crossref{https://doi.org/10.4213/tm4458}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2025
\vol 329
\pages 48--54
\crossref{https://doi.org/10.1134/S0081543825600644}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105017161066}
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