Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A ... Modern Surveys in Mathematics, 48, Band 48) - Hardcover

Lazarsfeld, R.K.

Hardcover

ISBN 10: 3540225331 ISBN 13: 9783540225331

Verlag: Springer, 2004

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2004
• Sprache: Englisch
• ISBN 10: 3540225331
• ISBN 13: 9783540225331
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 405
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Deutschland