Abstract
In this preliminary chapter (as well as in the next), we gather standard material that will be used throughout the book. That is to say, material that dates mostly from pre-Mori times.
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Actually, this is not quite true: when we consider moduli spaces of morphisms from a curve to a variety (see Section 2.2), or Hilbert schemes (see 5.6), we will still call them “schemes” although they are only locally Noetherian (they have countably many Noetherian connected components). To stress the point, I will call them “locally Noetherian schemes” whenever possible. These will be the only conflicts with this convention.
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© 2001 Springer Science+Business Media New York
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Debarre, O. (2001). Curves and Divisors on Algebraic Varieties. In: Higher-Dimensional Algebraic Geometry. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5406-3_1
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DOI: https://doi.org/10.1007/978-1-4757-5406-3_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2917-4
Online ISBN: 978-1-4757-5406-3
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