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

Griffiths, Phillip; Adams, John

Brossura

ISBN 10: 0691081514 ISBN 13: 9780691081519

Casa editrice: Princeton Univ Pr, 1974

Riassunto

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; 1.3Pⁿ 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations onPⁿ; 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 toPⁿ; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1K-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; 7.3K-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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Dettagli dell'edizione

• Editore: Princeton Univ Pr
• Data di pubblicazione: 1974
• Lingua: Inglese
• ISBN 10: 0691081514
• ISBN 13: 9780691081519
• Rilegatura: Copertina flessibile
• Numero di pagine: 219
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile