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Positivity in Algebraic Geometry I: - Paperback, by Lazarsfeld R.K. - Good

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Item specifics

Condition
Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
Book Title
Positivity in Algebraic Geometry I: Classical Setting: Line Bundl
ISBN
9783540225287

About this product

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3540225285
ISBN-13
9783540225287
eBay Product ID (ePID)
43449206

Product Key Features

Number of Pages
Xviii, 387 Pages
Publication Name
Positivity in Algebraic Geometry I Vol. I : Classical Setting-Line Bundles and Linear Series
Language
English
Publication Year
2004
Subject
Geometry / General, Geometry / Algebraic
Type
Textbook
Subject Area
Mathematics
Author
R. K. Lazarsfeld
Series
Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
44.4 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Dewey Edition
22
Reviews
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 Schr'er, Zentralblatt MATH, Vol. 1066, 2005)
Series Volume Number
48
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.3/5
Table Of Content
Notation 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.
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., 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 Number
QA564-609

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