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

Klappentext

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

Inhalt
Notation and Conventions.- One: Ample Line Bundles and Linear Series.- to Part One.- 1 Ample and Nef Line Bundles.- 2 Linear Series.- 3 Geometric Manifestations of Positivity.- 4 Vanishing Theorems.- 5 Local Positivity.- Appendices.- A Projective Bundles.- B Cohomology and Complexes.- B.1 Cohomology.- B.2 Complexes.- References.- Glossary of Notation.