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Topics In Algebraic And Analytic Geometry Mn13 Volume 13 Notes From A Course Of Phillip Griffiths Phillip A Griffiths John Frank Adams

  • SKU: BELL-51950876
Topics In Algebraic And Analytic Geometry Mn13 Volume 13 Notes From A Course Of Phillip Griffiths Phillip A Griffiths John Frank Adams
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Topics In Algebraic And Analytic Geometry Mn13 Volume 13 Notes From A Course Of Phillip Griffiths Phillip A Griffiths John Frank Adams instant download after payment.

Publisher: Princeton University Press
File Extension: PDF
File size: 7.6 MB
Pages: 228
Author: Phillip A. Griffiths; John Frank Adams
ISBN: 9781400869268, 1400869269
Language: English
Year: 2015

Product desciption

Topics In Algebraic And Analytic Geometry Mn13 Volume 13 Notes From A Course Of Phillip Griffiths Phillip A Griffiths John Frank Adams by Phillip A. Griffiths; John Frank Adams 9781400869268, 1400869269 instant download after payment.

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.

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