Positivity in algebraic geometry, 2.. Positivity for vector bundles, and multiplier ideals
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. Whereas Volume I is more elementary, the presentVolume II is more at the research level and somewhat more specialized. TOC:Part Two: Positivity for Vector Bundles. - Introduction to Part Two. - Ample and Nef Vector Bundles. - Geometric Properties of Ample Bundles. - Part Three: Multiplier Ideals and Their Applications. - Introduction to Part Three. - Multiplier Ideal Sheaves. - Some Applications of Multiplier Ideals. - Asymptotic Constructions. - References. - Glossary of Notation. - Index.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
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9783540225348
354022534X
- Extent
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XVII, 385 S.
- Language
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Englisch
- Notes
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graph. Darst.
- Bibliographic citation
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Positivity in algebraic geometry
Ergebnisse der Mathematik und ihrer Grenzgebiete ; Folge 3, Vol. 49
- Classification
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Mathematik
- Event
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Veröffentlichung
- (where)
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Berlin, Heidelberg, New York
- (who)
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Springer
- (when)
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2004
- Creator
- Table of contents
- Rights
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Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Last update
-
11.03.2025, 12:04 PM CET
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Lazarsfeld, Robert
- Springer
Time of origin
- 2004
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