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

*"synopsis" may belong to another edition of this title.*

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."

From the reviews:

"The main theme of this ??? monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. ??? The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006)

From the reviews:

"The main theme of this a ] monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. a ] The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006)

From the reviews:

"The main theme of this monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006)

From the reviews: "The main theme of this monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006)

From the reviews:

"The main theme of this monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006)"

From the reviews:

"The main theme of this monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006)"

From the reviews:

"The main theme of this ... monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. ... The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006)

*"About this title" may belong to another edition of this title.*

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**Book Description **Springer 8/24/2004, 2004. Paperback or Softback. Book Condition: New. Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals. Book. Bookseller Inventory # BBS-9783540225317

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**Book Description **Springer. Paperback. Book Condition: New. Paperback. 385 pages. Dimensions: 9.0in. x 6.1in. x 0.8in.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 leveland 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 This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9783540225317

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