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.
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