Topics in algebraic and analytic geometry : notes from a course of Phillip Griffiths
著者
書誌事項
Topics in algebraic and analytic geometry : notes from a course of Phillip Griffiths
（Mathematical notes, 13）（Tokyo University international edition, no. 83）
Princeton University Press , University of Tokyo Press, 1974
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注記
"Revised version of the notes taken from a class taught at Princeton University in 1971-1972."
Bibliography: p. 217-219
内容説明・目次
内容説明
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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