Approximating curves on real rational surfaces

János Kollár (1) , Frédéric Mangolte (2)

1 Princeton University
2 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

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

Mots clés: rational curves; real algebraic surfaces; algebraic cycles

Domaines: Géométrie algébrique [math.AG]

János Kollár, Frédéric Mangolte. Approximating curves on real rational surfaces. 2013. ⟨hal-00743204v3⟩