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Parametrizing Morphisms

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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.

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© 2001 Springer Science+Business Media New York

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Debarre, O. (2001). Parametrizing Morphisms. In: Higher-Dimensional Algebraic Geometry. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5406-3_2

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  • DOI: https://doi.org/10.1007/978-1-4757-5406-3_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2917-4

  • Online ISBN: 978-1-4757-5406-3

  • eBook Packages: Springer Book Archive

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