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Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals /

Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals /
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Field name Details
Dewey Class 516.35
Title Positivity in Algebraic Geometry II ([EBook] :) : Positivity for Vector Bundles, and Multiplier Ideals / / by Robert Lazarsfeld.
Author Lazarsfeld, Robert
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2004.
Physical Details XVII, 385 p. : online resource.
Series Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 0071-1136 ; ; 49
ISBN 9783642188107
Summary Note This two-volume book 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. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Most of the material in the present Volume II has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. Both volumes are also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete.".:
Contents note Notation and Conventions -- Two: Positivity for Vector Bundles -- 6 Ample and Nef Vector Bundles -- 7 Geometric Properties of Ample Bundles -- 8 Numerical Properties of Ample Bundles -- Three: Multiplier Ideals and Their Applications -- 9 Multiplier Ideal Sheaves -- 10 Some Applications of Multiplier Ideals -- 11 Asymptotic Constructions -- References -- Glossary of Notation.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-642-18810-7
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Catalogue Information 44028 Beginning of record . Catalogue Information 44028 Top of page .

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