“Bend-and-Break” Lemmas

  • Olivier Debarre
Part of the Universitext book series (UTX)


We now enter Mori’s world. The whole story began in 1979, with Mori’s spectacular proof of a conjecture of Hartshorne characterizing projective spaces as the only smooth projective varieties with ample tangent bundle. The techniques that Mori introduced to solve this conjecture have turned out to have more far-reaching applications than Hartshorne’s conjecture itself.


Rational Curve Projective Variety Abelian Variety Rational Curf Ample Line Bundle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Olivier Debarre
    • 1
  1. 1.IRMA—Université Louis Pasteur—CNRSStrasbourg CédexFrance

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