R. K. Lazarsfeld

Positivity in Algebraic Geometry I (eBook, PDF)

Classical Setting: Line Bundles and Linear Series

• Format: PDF

Produktbeschreibung

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

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Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 387
• Erscheinungstermin: 25. Juli 2017
• Englisch
• ISBN-13: 9783642188084
• Artikelnr.: 54789462

Autorenporträt

R.K. Lazarsfeld, University of Michigan, Ann Arbor, MI, USA

Inhaltsangabe

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.