Topics in algebraic and analytic geometry : notes from a course of Phillip Griffiths
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Bibliographic Information
Topics in algebraic and analytic geometry : notes from a course of Phillip Griffiths
（Princeton legacy library）
Princeton University Press, [201-]
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Topics in algebraic and analytic geometry (MN-13)
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Note
Reprint. Originally published: Princeton : Princeton University Press, 1974
Includes bibliographical references (p. 217-219)
Description and Table of Contents
Description
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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Table of Contents
*Frontmatter, pg. i*Introduction, pg. iii*Contents, pg. v*Chapter One, pg. 1*Chapter Two, pg. 23*Chapter Three, pg. 56*Chapter Four, pg. 73*Chapter Five, pg. 83*Chapter Six, pg. 136*Chapter Seven, pg. 154*Chapter Eight, pg. 196*Chapter Nine, pg. 215*Bibliography, pg. 217
by "Nielsen BookData"