Two volume work containing a contemporary account on "Positivity in
Algebraic Geometry".
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