Topics in Algebraic and Analytic Geometry.

Griffiths, Phillip and John Adams:

ISBN 10: 0691081514 / ISBN 13: 9780691081519

Published by Princeton University Press, 1980

About this Item

Series: Mathematical Notes. vi 219p paperback, canary-yellow cover with sunned spine, very good condition, a little scruffy on the outside with light marks to the front cover, otherwise very little wear, binding firm, pages clean and neat, free from notes and highlighting, a very good copy of a rare title Language: English Weight (g): 369.

Seller Inventory # 233750

Bibliographic Details

• Title: Topics in Algebraic and Analytic Geometry.
• Publisher: Princeton University Press
• Publication Date: 1980
• Language: English
• ISBN 10: 0691081514
• ISBN 13: 9780691081519
• Binding: Paperback
• Edition: 1st Edition
• Condition: Very Good
• Weight: 369 grams
• Seller catalogs:
  • Mathematics

About this title

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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