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
Reihe
Auflage
Softcover reprint of the original 1st ed. 2004
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 23 mm
Gewicht
ISBN-13
978-3-540-22528-7 (9783540225287)
DOI
10.1007/978-3-642-18808-4
Schweitzer Klassifikation
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.