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Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series /

Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series /
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Field name Details
Dewey Class 516.35
Title Positivity in Algebraic Geometry I ([EBook] :) : Classical Setting: Line Bundles and Linear Series / / by Robert Lazarsfeld.
Author Lazarsfeld, Robert
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2004.
Physical Details XVIII, 387 p. : online resource.
Series Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 0071-1136 ; ; 48
ISBN 9783642188084
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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