Positivity in Algebraic Geometry I

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

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

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2004
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xviii 387 S. 25 s/w Illustr. 25 s/w Zeichng.
ISBN-13:	9783540225287
ISBN-10:	3540225285
Sprache:	Englisch
Herstellernummer:	10887349
Einband:	Kartoniert / Broschiert
Autor:	Lazarsfeld, R. K.
Hersteller:	Springer Berlin Springer Berlin Heidelberg
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 23 mm
Von/Mit:	R. K. Lazarsfeld
Erscheinungsdatum:	24.08.2004
Gewicht:	0,616 kg

Artikel-ID: 102421245