Mathematical Notes: Topics in Algebraic and Analytic Geometry 13 by Phillip A. …

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ISBN
9780691081519
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關於產品

Product Identifiers

Publisher
Princeton University Press
ISBN-10
0691081514
ISBN-13
9780691081519
eBay Product ID (ePID)
1447984

Product Key Features

Number of Pages
228 Pages
Publication Name
Topics in Algebraic and Analytic Geometry : Notes from a Course of Phillip Griffiths
Language
English
Subject
Geometry / Analytic, Geometry / General, Geometry / Algebraic
Publication Year
1974
Type
Textbook
Subject Area
Mathematics
Author
Phillip A. Griffiths, John Frank Adams
Series
Mathematical Notes Ser.
Format
Trade Paperback

Dimensions

Item Weight
13 Oz
Item Length
10.8 in
Item Width
5.9 in

Additional Product Features

Intended Audience
College Audience
LCCN
74-002968
Series Volume Number
13
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 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-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
LC Classification Number
QA564.G66

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