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＜E-Book＞
Positivity in Algebraic Geometry I : Classical Setting: Line Bundles and Linear Series / by R.K. Lazarsfeld
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics. ISSN:21975655 ; 48)

Edition	1st ed. 2004.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2004
Size	XVIII, 387 p : online resource
Authors	*Lazarsfeld, R.K author SpringerLink (Online service)
Subjects	LCSH:Algebraic geometry LCSH:Geometry FREE:Algebraic Geometry FREE:Geometry
Notes	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 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 HTTP:URL=https://doi.org/10.1007/978-3-642-18808-4

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