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Rational Curves on Algebraic Varieties

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Proceedings of the International Congress of Mathematicians

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.

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Author information

Authors and Affiliations

  1. RIMS, Kyoto University, Kyoto, 606-01, Japan

    Yoichi Miyaoka

Authors
  1. Yoichi Miyaoka
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Editor information

Editors and Affiliations

  1. Département de Mathématiques, EPFL, 1015, Laussane, Switzerland

    S. D. Chatterji

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© 1995 Birkhäser Verlag, Basel, Switzerland

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Miyaoka, Y. (1995). Rational Curves on Algebraic Varieties. In: Chatterji, S.D. (eds) Proceedings of the International Congress of Mathematicians. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9078-6_61

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  • DOI: https://doi.org/10.1007/978-3-0348-9078-6_61

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9897-3

  • Online ISBN: 978-3-0348-9078-6

  • eBook Packages: Springer Book Archive

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