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Topics in Algebraic and Analytic Geometry. (MN-13), Volume 13: Notes From a Course of Phillip Griffiths (Mathematical Notes (13)) by Phillip A. Griffiths, John Frank Adams is a nonfiction available to read on EtoBox.

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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 **P** ^n^ 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on **P** ^n^; 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 **P** ^n^; 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. The **Princeton Legacy Library** uses the latest print-on-demand technology to again make available previously out-of-pr

Who reads Topics in Algebraic and Analytic Geometry. (MN-13), Volume 13: Notes From a Course of Phillip Griffiths (Mathematical Notes (13))?

Author

Phillip A. Griffiths, John Frank Adams

Publisher

Princeton University Press ; University of Tokyo Press

Published

1974

Language

EN

ISBN

9780691645445

Category

nonfiction

Subjects

Mathematics, Science, Stem