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Journal Articles Journal of Algebraic Geometry Year : 2016

Approximating curves on real rational surfaces

János Kollár
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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.
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Dates and versions

hal-00743204 , version 1 (18-10-2012)
hal-00743204 , version 3 (10-07-2013)
hal-00743204 , version 4 (18-10-2013)

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János Kollár, Frédéric Mangolte. Approximating curves on real rational surfaces. Journal of Algebraic Geometry, 2016, 25, pp.549-570. ⟨hal-00743204v4⟩
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