On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Mark Green 作者

Princeton University Press

譯者

2004-12-20 出版日期

224 頁數

USD 62.95 價格

Paperback

叢書系列

9780691120447 圖書編碼

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On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書圖書描述

In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory for subvarieties of a given smooth variety, centered around the normal bundle and the obstructions coming from the normal bundle's first cohomology group. Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful formula for the tangent space to Chow groups. Bloch's formula is motivated by algebraic K-theory and involves differentials over Q. The theory developed here is characterized by the appearance of arithmetic considerations even in the local infinitesimal theory of algebraic cycles. The map from the tangent space to the Hilbert scheme to the tangent space to algebraic cycles passes through a variant of an interesting construction in commutative algebra due to Angniol and Lejeune-Jalabert. The link between the theory given here and Bloch's formula arises from an interpretation of the Cousin flasque resolution of differentials over Q as the tangent sequence to the Gersten resolution in algebraic K-theory. The case of 0-cycles on a surface is used for illustrative purposes to avoid undue technical complications.

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On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書用戶評價

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書著者簡介

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書著者簡介

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書圖書描述

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書讀後感

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On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

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On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 著者簡介

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 著者簡介

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書 圖書描述

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On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書用戶評價

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書著者簡介

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書著者簡介

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書圖書描述

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. 在線電子書讀後感

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