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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. |
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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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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Springer eBooks | 9783642188084 |
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電子リソース |
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EB00204582 |
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