Abstract
As we have suggested on a number of occasions, an important use of multiplier ideals is to make it possible to apply vanishing theorems for Q-divisors without first passing to a normal crossing situation. While this can be extremely valuable, in many cases it constitutes mainly a conceptual and technical simplification of the direct approach: several of the theorems presented in Chapter 10, for example, were originally proven without the language of multiplier ideals.
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© 2004 Springer-Verlag Berlin Heidelberg
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Lazarsfeld, R. (2004). Asymptotic Constructions. In: Positivity in Algebraic Geometry II. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, vol 49. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18810-7_7
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DOI: https://doi.org/10.1007/978-3-642-18810-7_7
Publisher Name: Springer, Berlin, Heidelberg
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