Lectures on curves on varieties -- Lisbon, 2009

2009/08/28 by Janós Kollár, Kollár, János
Mathematics · #14C05 #14C25 #14M20 #14M22 #53D45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.0908.4241

openalex publication_date 2009/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These lectures give a short introduction to the study of curves on algebraic varieties. After an elementary proof of the dimension formula for the space of curves, we summarize the basic properties of uniruled and of rationally connected varieties. At the end, some connections with symplectic geometry are considered.

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