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
(Princeton legacy library)
Princeton University Press, [201-]
- タイトル別名
-
Topics in algebraic and analytic geometry (MN-13)
大学図書館所蔵 件 / 全6件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Reprint. Originally published: Princeton : Princeton University Press, 1974
Includes bibliographical references (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.
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.
目次
*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
「Nielsen BookData」 より