Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series: 48 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 48) - Softcover
Book 46 of 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics
Synopsis
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.
"synopsis" may belong to another edition of this title.
Review
From the reviews:
"This ??? book offers a comprehensive, up-to-date account on ampleness and positivity in complex algebraic geometry. ??? The book contains a wealth of material and aims at readers with a certain overview in complex algebraic geometry. ??? the text never gets bogged down in technicalities, and is a pleasure to read. The presentation nicely reveals historical developments and mathematical interplay between various results. ??? A fine book indeed." (Stefan Schr??er, Zentralblatt MATH, Vol. 1066, 2005)
From the reviews:
"This a ] book offers a comprehensive, up-to-date account on ampleness and positivity in complex algebraic geometry. a ] The book contains a wealth of material and aims at readers with a certain overview in complex algebraic geometry. a ] the text never gets bogged down in technicalities, and is a pleasure to read. The presentation nicely reveals historical developments and mathematical interplay between various results. a ] A fine book indeed." (Stefan SchrAer, Zentralblatt MATH, Vol. 1066, 2005)
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Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series
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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 . Modern Surveys in Mathematics, 48, Band 48)
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Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series
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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, 48)
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 l. Seller Inventory # 4885583
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Positivity in Algebraic Geometry I
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 408 pp. Englisch. Seller Inventory # 9783540225287
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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, 48)
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Positivity in Algebraic Geometry I
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Positivity in Algebraic Geometry I
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Two volume work containing a contemporary account on Positivity in Algebraic GeometryA good deal of the material has not previously appeared in book formVolume I is more elementary than Volume II and can be read without access to Volume IITopics in Volume I: ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini, vanishing theorems, local positivityContains many concrete examples, applications, and pointers to further developmentsSpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 408 pp. Englisch. Seller Inventory # 9783540225287
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Positivity in Algebraic Geometry I
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