Algebraic and Analytic Geometry pdf epub mobi txt 電子書下載 2024

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Amnon Neeman

Cambridge University Press

2007-9-24

434

USD 88.99

Paperback

London Mathematical Society Lecture Note Series

9780521709835

圖書標籤: 代數幾何數學復幾何 mathematics 復分析7 復幾何7 QS MathGeometry

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发表于2024-12-25

Algebraic and Analytic Geometry epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Algebraic and Analytic Geometry pdf epub mobi txt 電子書下載 2024

圖書描述

This textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it connects algebra and analysis; the average student will probably be more familiar and more comfortable with the analytic component. The book therefore focuses on Serre's GAGA theorem, which perhaps best encapsulates the link between algebra and analysis. GAGA provides the unifying theme of the book: we develop enough of the modern machinery of algebraic geometry to be able to give an essentially complete proof, at a level accessible to undergraduates throughout. The book is based on a course which the author has taught, twice, at the Australian National University.

Algebraic and Analytic Geometry 下載 mobi epub pdf txt 電子書

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圖書目錄

Algebraic and Analytic Geometry pdf epub mobi txt 電子書下載

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用戶評價

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本書隻證明的一個關鍵定理就是serre的GAGA：從代數範疇多項式（整體）到其解析範疇（局部問題）之間的類比關係。有限概型上的三個對象代數和分析等價：閉子集，嚮量叢，映射（代數叢上的映射是全純的）緊性條件下。概型可以看做為流形或者是簇的推廣（流形-環層空間-局部環層空間-素譜-概型局部模型是仿射概型）。層是整體定義的，但本質是局部的。可微流形的本質是拓撲流形加上瞭可微函數組成的嚮量空間=環層（X，Ox）

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