Curve Classes on Rationally Connected Varieties

2012/07/03 by Hong R. Zong, Zong, Hong R.
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #math.AG

paper · pdf · doi:10.48550/arxiv.1207.0575

6 pages, final version, to appear in proceedings volume for "rational curves, rational points, and holomorphic curves"--contemporary mathematics series by AMS

arxiv created 2015/02/20 · arxiv updated 2015/02/23

Abstract

We prove that every curve on a rationally connected variety is algebraically equivalent to a (non-effective) integral sum of rational curves.

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• Remarks on curve classes on rationally connected varieties
• Rationally connected varieties
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• Rational Curves on Varieties