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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.
https://hal.archives-ouvertes.fr/hal-00743204 Contributor : Frédéric MangolteConnect in order to contact the contributor Submitted on : Friday, October 18, 2013 - 1:52:27 PM Last modification on : Friday, January 7, 2022 - 2:14:02 PM Long-term archiving on: : Sunday, January 19, 2014 - 4:27:27 AM
János Kollár, Frédéric Mangolte. Approximating curves on real rational surfaces. Journal of Algebraic Geometry, American Mathematical Society, 2016, 25, pp.549-570. ⟨hal-00743204v4⟩