English

Approximating curves on real rational surfaces

Algebraic Geometry 2025-05-26 v4

Abstract

We give necessary and sufficient topological conditions for a simple closed curve on a real rational surface to be approximable by smooth rational curves. We also study approximation by smooth rational curves with given complex self-intersection number.

Keywords

Cite

@article{arxiv.1210.5687,
  title  = {Approximating curves on real rational surfaces},
  author = {János Kollár and Frédéric Mangolte},
  journal= {arXiv preprint arXiv:1210.5687},
  year   = {2025}
}
R2 v1 2026-06-21T22:25:18.779Z