Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A . Modern Surveys in Mathematics, 48, Band 48)

Lazarsfeld, Robert:

ISBN 10: 3540225285 / ISBN 13: 9783540225287

Published by Springer, 2008

About this Item

408 Seiten; 9783540225287.3 Gewicht in Gramm: 1.

Seller Inventory # 1066385

Bibliographic Details

• Title: Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A . Modern Surveys in Mathematics, 48, Band 48)
• Publisher: Springer
• Publication Date: 2008
• Language: English
• ISBN 10: 3540225285
• ISBN 13: 9783540225287
• Binding: paperback
• Condition: Gut
• Weight: 1 gram
• Seller catalogs:
  • Varia

About this title

Synopsis

This two volume work 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. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments.

Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.

Review

From the reviews:

"This ??? book offers a comprehensive, up-to-date account on ampleness and positivity in complex algebraic geometry. ??? The book contains a wealth of material and aims at readers with a certain overview in complex algebraic geometry. ??? the text never gets bogged down in technicalities, and is a pleasure to read. The presentation nicely reveals historical developments and mathematical interplay between various results. ??? A fine book indeed." (Stefan Schr??er, Zentralblatt MATH, Vol. 1066, 2005)

From the reviews:

"This a ] book offers a comprehensive, up-to-date account on ampleness and positivity in complex algebraic geometry. a ] The book contains a wealth of material and aims at readers with a certain overview in complex algebraic geometry. a ] the text never gets bogged down in technicalities, and is a pleasure to read. The presentation nicely reveals historical developments and mathematical interplay between various results. a ] A fine book indeed." (Stefan SchrAer, Zentralblatt MATH, Vol. 1066, 2005)