2002/03/18 by Carolina Araujo, Araujo, Carolina, János Kollár +1
Mathematics · #14C05 (primary) 14G20 #14H15 (secondary) #14J40 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C05 #msc:14G20 #msc:14H15 #msc:14J40
paper · pdf · doi:10.48550/arxiv.math/0203173
arxiv created 2002/11/13 · arxiv updated 2009/11/30
The aim of these notes is to give a 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. The first six sections closely follow the lectures of J. Kollár given at the summer school ``Higher dimensional varieties and rational points''. The notes were written up by C. Araujo and substantially edited later. Revised version with 2 new sections.