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.
"Sinopsis" puede pertenecer a otra edición de este libro.
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 paperback editions preserve the original texts of these important books while presenting them in durable paperback 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.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Paperback. Condición: Very Good. Series: Mathematical Notes. vi 219p paperback, canary-yellow cover with sunned spine, very good condition, a little scruffy on the outside with light marks to the front cover, otherwise very little wear, binding firm, pages clean and neat, free from notes and highlighting, a very good copy of a rare title Language: English Weight (g): 369. Nº de ref. del artículo: 233750
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Paperback. Condición: Near Fine. 219 pages. Preliminary Informal Notes of University Courses and Seminars in Mathematics. Notes from a course of Phillip Griffiths written and revised by John Adams. This is #13 in the Mathematical Notes series. ; 6 1/8 x 9 1/4 ". Nº de ref. del artículo: 90375
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Librería: Die Wortfreunde - Antiquariat Wirthwein Matthias Wirthwein, Mannheim, Alemania
Taschenbuch. 219 Seiten 1980. Stempel der Universität Heidelberg, Einband etwas berieben, sonst sauber und gut. Sprache: Englisch Gewicht in Gramm: 364. Nº de ref. del artículo: 41815
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