Real del Pezzo Surfaces without Points

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 $$2$$ .

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Publication Details

Journal
Proceedings of the Steklov Institute of Mathematics
Published
2025-06-01
DOI
https://doi.org/10.1134/s0081543825600644
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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article

Real del Pezzo Surfaces without Points

Proceedings of the Steklov Institute of Mathematics
Geochemistry and Geologic Mapping
article

Real del Pezzo Surfaces without Points

article en

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 $$2$$ .

Proceedings of the Steklov Institute of MathematicsVol. 329(1)
Bauman Moscow State Technical University (RU)
Openalex Percentile: Top 28%
Geochemistry and Geologic Mapping
DOISourceOpenAlex
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Real del Pezzo Surfaces without Points · Proceedings of the Steklov Institute of Mathematics (2025) | TGRS Research Map | TGRS