Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals [Paperback]

R.K. Lazarsfeld (Author)

Book Description

ISBN-10: 3540225315 | ISBN-13: 978-3540225317 | Publication Date: October 15, 2004 | Edition: 1

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

Editorial Reviews

Review

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 Back Cover

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."

Product Details

• Paperback: 403 pages
• Publisher: Springer; 1 edition (October 15, 2004)
• Language: English
• ISBN-10: 3540225315
• ISBN-13: 978-3540225317
• Product Dimensions: 9 x 6.1 x 0.8 inches
• Shipping Weight: 1.2 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #1,074,072 in Books (See Top 100 in Books)