Positivity in Algebraic Geometry - 1: Positivity in Algebraic Geometry I

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.

Riassunto

Two volume work containing a contemporary account on
Positivity in Algebraic Geometry
A good deal of the material has not previously appeared in book form
Volume I is more elementary than Volume II and can be read without access to Volume II
Topics in Volume I: ample line bundles and linear series on a projective variety, the classical theorems of  Lefschetz and Bertini, vanishing theorems, local positivity
Contains many concrete examples, applications, and pointers to further developments

Dettagli sul prodotto

• Autori: Robert Lazarsfeld, R. K. Lazarsfeld, R.K. Lazarsfeld, R K Lazarsfeld
• Editore: Springer, Berlin
• Contenuto: Libro
• Forma del prodotto: Tascabile
• Data pubblicazione: 20.12.2004
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra
• EAN: 9783540225287
• ISBN: 978-3-540-22528-7
• Numero di pagine: 387
• Illustrazioni: XVIII, 387 p.
• Dimensioni (della confezione): 16 x 23.7 x 2.3 cm
• Peso (della confezione): 624 g
• Collana: Positivity in Algebraic Geometry > 1; Positivity in Algebraic Geometry > 1
• Serie: Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge > Vol.48; Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics > 48; Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge > 48; Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
• Categorie: Geometrie, B, Geometrie / Algebraische Geometrie, Algebraische Geometrie, LineBundles; LinearSeries; MultiplierIdeals; VanishingTheorems; vectorbundles; algebraicvarieties, geometry, Mathematics and Statistics, Algebraic Geometry, Multiplier Ideals, Vector Bundles, Vanishing Theorems