Approximating curves on real rational surfaces

来源 :2012年本质维数和克里摩拿群国际学术研讨会 | 被引量 : 0次 | 上传用户:lvlaoban0
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  It is known that every differentiable map from the circle to a rational variety S1 → X can be approximated by an algebraic map P1(R) → X.In particular,any simple closed curve on a rational surface S can be approximated by a rational curve on S.Note that the usual result is about maps of rational curves,so the image may have some extra isolated points.
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