About this product

Product Identifiers

PublisherSpringer Berlin / Heidelberg

ISBN-103540225285

ISBN-139783540225287

eBay Product ID (ePID)43449206

Product Key Features

Number of PagesXviii, 387 Pages

LanguageEnglish

Publication NamePositivity in Algebraic Geometry I Vol. I : Classical Setting-Line Bundles and Linear Series

SubjectGeometry / General, Geometry / Algebraic

Publication Year2004

TypeTextbook

AuthorR. K. Lazarsfeld

Subject AreaMathematics

SeriesErgebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Weight44.4 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

ReviewsFrom 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 Schr'er, Zentralblatt MATH, Vol. 1066, 2005)

Dewey Edition22

Series Volume Number48

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal516.3/5

Table Of ContentNotation and Conventions.- One: Ample Line Bundles and Linear Series.- to Part One.- 1 Ample and Nef Line Bundles.- 2 Linear Series.- 3 Geometric Manifestations of Positivity.- 4 Vanishing Theorems.- 5 Local Positivity.- Appendices.- A Projective Bundles.- B Cohomology and Complexes.- B.1 Cohomology.- B.2 Complexes.- References.- Glossary of Notation.

SynopsisThis 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., Two volume work containing a contemporary account on Positivity in Algebraic Geometry A good deal of the material has not previously appeared in book form Volume I is more elementary than Volume II and can be read without access to Volume II Topics in Volume I: ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini, vanishing theorems, local positivity Contains many concrete examples, applications, and pointers to further developments, Here is the first part of a two volume work that contains a contemporary account of positivity in complex algebraic geometry. Topics in this volume 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.

LC Classification NumberQA564-609