Positivity in Algebraic Geometry I
R.K. Lazarsfeld
Inglés

Sinopse 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.
EAN
9783540225331
Editorial
Ano de edición
2004
Páxinas
408
Idioma
Inglés
Colección
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern
Alto
235
Ancho
155
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