Rational curves on algebraic varieties

@inproceedings{Kollr1996RationalCO,
  title={Rational curves on algebraic varieties},
  author={J{\'a}nos Koll{\'a}r},
  booktitle={Ergebnisse der Mathematik und ihrer Grenzgebiete},
  year={1996}
}
  • J. Kollár
  • Published in
    Ergebnisse der Mathematik und…
    6 December 1995
  • Mathematics, Computer Science
I. Hilbert Schemes and Chow Varieties.- II. Curves on Varieties.- III. The Cone Theorem and Minimal Models.- IV. Rationally Connected Varieties.- V. Fano Varieties.- VI. Appendix.- References. 

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References

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Rationally Connected Varieties
This is the key chapter of the book. Its aim is to study the birational properties of those varieties which are covered by rational curves. It is reasonable to expect that many of their propertiesExpand
Rational Curves on Algebraic Varieties
The aim of this article is to give a brief review on recent developments in the theory of embedded rational curves, which the author believes is a new, useful viewpoint in the study of higherExpand
Algebraic geometry
TLDR
It’s better to think of Algebraic Geometry as indicating a sub-area of mathematics as a whole, rather than a very precisely defined subfield. Expand
Techniques de construction et théorèmes d'existence en géométrie algébrique IV : les schémas de Hilbert
© Association des collaborateurs de Nicolas Bourbaki, 1961, tous droits réservés. L’accès aux archives du séminaire Bourbaki (http://www.bourbaki. ens.fr/) implique l’accord avec les conditionsExpand
Éléments de géométrie algébrique
© Publications mathématiques de l’I.H.É.S., 1965, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://Expand
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© Bulletin de la S. M. F., 1994, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http: //smf.emath.fr/Publications/Bulletin/Presentation.html) implique l’accordExpand