Graduate School of Mathematical Sciences Komaba, Tokyo, Japan Curves in Quadric and Cubic Surfaces Whose Complements Are Kobayashi Hyperbolically Imbedded
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چکیده
We construct smooth irreducible curves of the lowest possible degrees in quadric and cubic surfaces whose complements are Kobayashi hyperbolically imbedded into those surfaces. Moreover we characterize line bundles on quadric and cubic surfaces such that the complete linear systems of the line bundles have a smooth irreducible curve whose complement is Kobayashi hyperbolically imbedded.
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تاریخ انتشار 2013