Chapter

Higher Dimensional Varieties and Rational Points

Volume 12 of the series Bolyai Society Mathematical Studies pp 13-68

Rational Curves on Varieties

  • Carolina AraujoAffiliated withMathematics Department, Princeton University
  • , János KollárAffiliated withMathematics Department, Princeton University

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Abstract

The aim of these notes is to give an introduction to the ideas and techniques of handling rational curves on varieties. The main emphasis is on varieties with many rational curves, which are the higher dimensional analogs of rational curves and surfaces.