Real del Pezzo surfaces without points
Grigory Belousov

TL;DR
This paper studies real del Pezzo surfaces lacking real points and proves that their complex counterparts have a Picard number of at least two, revealing a link between real and complex geometric properties.
Contribution
It establishes a lower bound on the Picard number of complex del Pezzo surfaces associated with real surfaces without points, a novel connection in algebraic geometry.
Findings
Real del Pezzo surfaces without points exist.
Their complex counterparts have Picard number ≥ 2.
The result links real and complex geometric properties.
Abstract
We consider a real del Pezzo surface without points. We prove that the same surface over complex numbers field has Picard number is at least two.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Mathematics and Applications · Computational Geometry and Mesh Generation
