Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge . of Modern Surveys in Mathematics) (v. 2)

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2004. 2004th Edition. Hardcover. A two volume work containing a contemporary account on "Positivity in Algebraic Geometry". It contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. It also contains many concrete examples, applications, and pointers to further developments. Series: Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics. Num Pages: 385 pages, biography. BIC Classification: PB. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 23. Weight in Grams: 747. . . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9783540225348

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This two-volume book on "Positivity in Algebraic Geometry" contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Most of the material in the present Volume II has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. Both volumes are also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete."