Rational Curves on Varieties

By Carolina Araujo, J. Kollár. 2002

71 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/24e8023d80a5c95f02cb97f1482e113298098783

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In Algebra and Number Theory

1. Yuri Tschinkel
2. Brendan Hassett
3. D. Huybrechts
4. Franccois Charles

In Computational Theory and Mathematics

1. Yuri Tschinkel
2. Brendan Hassett

In Geometry and Topology

1. Yuri Tschinkel
2. Brendan Hassett
3. Giovanni Mongardi
4. Franccois Charles
5. D. Smyth
6. Donghoon Hyeon
7. Brian Lehmann
8. D. Huybrechts

Citations in the corpus

• Weak approximation over function fields (2004, background): “Recall that a smooth variety X is separably rationally connected if it admits a very free rational curve [ 1 ], item 35.”