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

Date

2021-11-01

Author

Finashin, Sergey

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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.

URI

https://hdl.handle.net/11511/92701

Journal

SELECTA MATHEMATICA-NEW SERIES

DOI

https://doi.org/10.1007/s00029-021-00690-x

Collections

Department of Mathematics, Article

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Citation Formats

S. Finashin, “Two kinds of real lines on real del Pezzo surfaces of degree 1,” SELECTA MATHEMATICA-NEW SERIES, vol. 27, no. 5, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/92701.