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

Autor R.K. Lazarsfeld
en Limba Engleză Hardback – 24 aug 2004
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.
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Din seria Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

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Specificații

ISBN-13: 9783540225331
ISBN-10: 3540225331
Pagini: 408
Ilustrații: XVIII, 387 p.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 0.74 kg
Ediția:2004
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Caracteristici

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 Includes supplementary material: sn.pub/extras