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Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals /
Tag	Description
020	$a9783642188107$9978-3-642-18810-7
082	$a516.35$223
099	$aOnline resource: Springer
100	$aLazarsfeld, Robert.
245	$aPositivity in Algebraic Geometry II$h[EBook] :$bPositivity for Vector Bundles, and Multiplier Ideals /$cby Robert Lazarsfeld.
260	$aBerlin, Heidelberg :$bSpringer Berlin Heidelberg :$bImprint: Springer,$c2004.
300	$aXVII, 385 p.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics,$x0071-1136 ;$v49
505	$aNotation 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.
520	$aThis 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.".
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
710	$aSpringerLink (Online service)
830	$aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics,$x0071-1136 ;$v49
856	$uhttp://dx.doi.org/10.1007/978-3-642-18810-7