Positivity in Algebraic Geometry II

Positivity for Vector Bundles, and Multiplier Ideals

Robert Lazarsfeld - Collection A series of Modern Surveys in Mathematics

385 pages, parution le 14/10/2004

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Résumé

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. Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized.

Written for: Graduate students and researchers in algebraic geometry and neighboring fields

Sommaire

Volume II

Part Two: Positivity for Vector Bundles
- Ample and Nef Vector Bundles
- Geometric Properties of Ample Bundles
- Numerical Properties of Ample Bundles
Part Three: Multiplier Ideals and Their Applications
- Multiplier Ideal Sheaves
- Some Applications of Multiplier Ideals
- Asymptotic Constructions
- References
- Glossary of Notation

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Robert Lazarsfeld
Collection	A series of Modern Surveys in Mathematics
Parution	14/10/2004
Nb. de pages	385
Format	16 x 24
Couverture	Relié
Poids	720g
Intérieur	Noir et Blanc
EAN13	9783540225348