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Parametrizing Morphisms

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

Abstract

We continue in this chapter our exposition of background results with a much more specific purpose. We will concentrate on basically one object, whose construction dates back to Grothendieck in 1962: the space parametrizing curves on a given variety, or more precisely morphisms from a given smooth projective curve C to a given smooth quasi-projective variety. Mori’s techniques, which will be discussed in the next chapter, make systematic use of these spaces in a rather exotic way.

Keywords

Exact Sequence Projective Space Tangent Space Irreducible Component Smooth Projective Curve 
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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