Approximating curves on real rational surfaces

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.

References in corpus (3)

• The maximum number of singular points on rational homology projective planes
• Geometrically rational real conic bundles and very transitive actions
• Real singular Del Pezzo surfaces and 3-folds fibred by rational curves, II

Cited by in corpus (2)

• On the integral Hodge conjecture for real varieties, II
• Real frontiers of fake planes