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Title: Positivity in Algebraic Geometry I ([EBook] :) : Classical Setting: Line Bundles and Linear Series // by Robert Lazarsfeld. Dewey Class: 516.35 Author: Lazarsfeld, Robert. Publication: Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer,, 2004. Other name(s): SpringerLink (Online service) 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 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) 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. ------------------------------ *** Non c'è alcun posseduto per questo Record *** -----------------------------------------------
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