Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

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

• Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
• Birational Geometry Algebraic Var (Cambridge Tracts in Mathematics)
• Hodge Theory and Complex Algebraic Geometry, I (Cambridge Studies in Advanced Mathematics)
• Hodge Theory and Complex Algebraic Geometry II (Cambridge Studies in Advanced Mathematics) (v. 2)
• Cohen-Macaulay Rings 2ed (Cambridge Studies in Advanced Mathematics)
• Algebraic Topology
• Toric Varieties (Graduate Studies in Mathematics)
• Intersection Theory, 2nd Edition
• 3264 and All That: A Second Course in Algebraic Geometry
• Differential Geometry: Connections, Curvature, and Characteristic Classes (Graduate Texts in Mathematics)