Two kinds of real lines on real del Pezzo surfaces of degree 1

Autor:	Finashin, Sergey, Kharlamov, Viatcheslav
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry Mathematics - Geometric Topology 14N10 (Primary) 14P25 14J26 14N15 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We show how the real lines on a real del Pezzo surface of degree 1 can be split into two species, elliptic and hyperbolic, via a certain distinguished, intrinsically defined, Pin-structure on the real locus of the surface. We prove that this splitting is invariant under real automorphisms and real deformations of the surface, and that the difference between the total numbers of hyperbolic and elliptic lines is always equal to 16. Comment: 19 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.04713 Zobrazit plný text záznamu View this record from Arxiv