Topics in Algebraic and Analytic Geometry: Notes from a Course of Phillip Griffiths - Couverture souple

Griffiths, Phillip A.; Adams, John Frank

Couverture souple

ISBN 10 : 0691618445 ISBN 13 : 9780691618449

Editeur : Princeton University Press, 2015

Synopsis

This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories.

Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on Pn; 3.1 maximum principle and Schwarz lemma on analytic spaces; 3.2 Siegel's theorem; 3.3 Chow's theorem; 4.1 GAGA; 5.1 line bundles, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 K-theory and Bott periodicity; 6.2 K-theory as a generalized cohomology theory; 7.1 the Chern character and obstruction theory; 7.2 the Atiyah-Hirzebruch spectral sequence; 7.3 K-theory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks; bibliography.

Originally published in 1974.

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Détails de l'édition

• Éditeur: Princeton University Press
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 0691618445
• ISBN 13: 9780691618449
• Reliure: Broché
• Nombre de pages: 228
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible