Positivity in Algebraic Geometry II

Positivity for Vector Bundles, and Multiplier Ideals
2004
ISBN: 978-3-540-22534-8
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 49, 385 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1650 g

Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Two volume work containing a contemporary account on "Positivity in Algebraic Geometry".

Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".

A good deal of the material has not previously appeared in book form.

Volume II is more at the research level and somewhat more specialized than Volume I.

Volume II contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. 

Contains many concrete examples, applications, and pointers to further developments

Zielgruppe

Research

Autoren/Hrsg.

Lazarsfeld, R. K.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

Notation 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.