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
Rezensionen / Stimmen
From the reviews: "The main theme of this ... monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. ... The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006)
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Research
Illustrationen
Maße
Höhe: 241 mm
Breite: 160 mm
Dicke: 27 mm
Gewicht
ISBN-13
978-3-540-22534-8 (9783540225348)
DOI
10.1007/978-3-642-18810-7
Schweitzer Klassifikation
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.