Rational Curves on Algebraic Varieties

Yoichi Miyaoka
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Yoichi Miyaoka: Kyoto University, RIMS

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 680-689 from Springer

Abstract: 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.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_61

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DOI: 10.1007/978-3-0348-9078-6_61

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