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170803 ||| eng |
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|a 9783642188084
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|a Lazarsfeld, R.K.
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|a Positivity in Algebraic Geometry I
|h Elektronische Ressource
|b Classical Setting: Line Bundles and Linear Series
|c by R.K. Lazarsfeld
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| 250 |
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|a 1st ed. 2004
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2004, 2004
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| 300 |
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|a XVIII, 387 p
|b online resource
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|a 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
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| 653 |
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|a Algebraic Geometry
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|a Geometry
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|a Algebraic geometry
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| 653 |
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|a Geometry
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|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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|a Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
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| 856 |
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|u https://doi.org/10.1007/978-3-642-18808-4?nosfx=y
|x Verlag
|3 Volltext
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|a 516.35
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|a 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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