Positivity in Algebraic Geometry I
Lazarsfeld, R.K.
Produktnummer:
18306ef091a8a8433bb98ffcdf894c9602
| Autor: | Lazarsfeld, R.K. |
|---|---|
| Themengebiete: | Algebraic Varieties Line Bundles Linear Series Multiplier Ideals Vanishing Theorems Vector Bundles |
| Veröffentlichungsdatum: | 24.08.2004 |
| EAN: | 9783540225287 |
| Sprache: | Englisch |
| Seitenzahl: | 387 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
| Untertitel: | Classical Setting: Line Bundles and Linear Series |
Produktinformationen "Positivity in Algebraic Geometry I"
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.
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