Positivity in Algebraic Geometry II : Positivity for Vector Bundles, and Multiplier Ideals
2004 ed.
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Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".
A good deal of the material has not previously appeared in book form.
Volume II is more at the research level and somewhat more specialized than Volume I.
Volume II contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications.
Contains many concrete examples, applications, and pointers to further developments
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