流形上的層（英文版） [Sheaves on Manifolds] pdf epub mobi txt 電子書下載 2025

簡體網頁||繁體網頁

☆☆☆☆☆

[日] 柏原正樹（Masaki Kashiwara），Pierre Schapira 著

圖書標籤:

Sheaves
Manifolds
Differential Geometry
Topology
Algebraic Geometry
Mathematics
Pure Mathematics
Advanced Mathematics
Complex Manifolds
Cohomology

下載連結在頁面底部

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 複製連結

想要找書就要到靜思書屋

book.idnshop.cc

立刻按 ctrl+D收藏本頁

你會得到大驚喜!!

齣版社：世界圖書齣版公司

ISBN：9787510070303

版次：1

商品編碼：11419299

包裝：平裝

外文名稱：Sheaves on Manifolds

開本：24開

齣版時間：2014-03-01

用紙：膠版紙

頁數：512

正文語種：英文

具體描述

內容簡介

　　層論是代數拓撲、代數幾何和偏微分方程的交叉形成得一個很現代，很活躍的領域。《流形上的層（英文版）》從層論的基礎講起，強調微局部觀點。包括瞭許多有趣的觀點，寫作風格清晰明瞭，將數學的這個全新，龐大的分支展現給讀者。

內頁插圖

Introduction
A Short History: Les Debuts De La Theorie des Faheeaux By Christian Houzel
1. Homologieal Algebra
Summary
1.1. Categories and Functors
1.2. Abelian Categories
1.3. Categories of Complexes
1.4. Mapping Cones
1.5. Triangulated Categories
1.6. Localization of Categories
1.7. Derived Categories
1.8. Derived Functors
1.9. Double Complexes
1.10. Bifunctors
1.11. Ind-Objects And Pro-Objects
1.12. The Mittag-Leffler Condition
Exercises To Chapter I
Notes

Ⅱ.Sheaves
Summary
2.1. Presheaves
2.2. Sheaves
2.3. Operations on Sheaves
2.4. Injective, Flabby and Flat Sheaves
2.5. Sheaves on Locally Compact Spaces
2.6. Cohomology of Sheaves
2.7. Some Vanishing Theorems
2.8. Cohomology of Coverings
2.9. Examples of Sheaves on Real and Complex Manifolds
……
Ⅲ. poincare. verdier duality and fourier-sato transformation
Ⅳ. specialization and microlocalization
Ⅴ. micro-support of sheaves
Ⅵ. micro-support and microlocalization
Ⅶ. contact transformations and pure sheaves
Ⅷ. constructible sheaves
Ⅸ. characteristic cycles
Ⅹ. perverse sheaves
Ⅺ. applications to θ-modules and d-modules