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Rational Curves on Algebraic Varieties

In: Proceedings of the International Congress of Mathematicians

Author

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  • Yoichi Miyaoka

    (Kyoto University, RIMS)

Abstract

The aim of this article is to give a brief review on recent developments in the theory of embedded rational curves, which the author believes is a new, useful viewpoint in the study of higher dimensional algebraic varieties. By an embedded rational curve, or simply a rational curve, on a variety X, we mean the image of the projective line ℙ1 by a nontrivial morphism to X, hence complete, one-dimensional, but not necessarily smooth.

Suggested Citation

  • Yoichi Miyaoka, 1995. "Rational Curves on Algebraic Varieties," Springer Books, in: S. D. Chatterji (ed.), Proceedings of the International Congress of Mathematicians, pages 680-689, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9078-6_61
    DOI: 10.1007/978-3-0348-9078-6_61
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