Positivity in algebraic geometry, 1.. Classical setting : line bundles and linear series
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. TOC:Part One: Ample Line Bundles and Linear Series. - Introduction to Part One. - Ample Nef Line Bundles. - Linear Series. - Geometric Manifestations of Positivity. - Vanishing Theorems. - Local Positivity. - Appendices. - References. - Glossary of Notation. - Index.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
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9783540225331
3540225331
- Extent
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XVIII, 387 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. 48
- 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
-
14.06.2025, 12:13 AM CEST
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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Ulrich bundles : from commutative algebra to algebraic geometry
Applications of classical algebraic geometry to cryptography
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Higgs bundles without geometry
Partial positivity concepts in projective geometry
Algebraic and motivic vector bundles
Algebraic geometry