Positivity in algebraic geometry, 2.. Positivity for vector bundles, and multiplier ideals

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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 presentVolume II is more at the research level and somewhat more specialized. Both volumes are also available as hardcover edition as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete". TOC:Part Two: Positivity for Vector Bundles. - Introduction to Part Two. - Ample and Nef Vector Bundles. - Geometric Properties of Ample Bundles. - Part Three: Multiplier Ideals and Their Applications. - Introduction to Part Three. - Multiplier Ideal Sheaves. - Some Applications of Multiplier Ideals. - Asymptotic Constructions. - References. - Glossary of Notation. - Index.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
ISBN
9783540225317
3540225315
Umfang
XVII, 385 S.
Sprache
Englisch
Anmerkungen
graph. Darst.

Erschienen in
Positivity in algebraic geometry

Klassifikation
Mathematik

Ereignis
Veröffentlichung
(wo)
Berlin, Heidelberg, New York
(wer)
Springer
(wann)
2004
Urheber

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11.06.2025, 13:33 MESZ

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