代數麯麵和全純嚮量叢 [Algebraic Surfaces and Holomorphic Vector Bundle] pdf epub mobi txt 電子書 下載 2024

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代數麯麵和全純嚮量叢 [Algebraic Surfaces and Holomorphic Vector Bundle]


[美] 弗裏德曼(Friedman.R.) 著



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发表于2024-12-23

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齣版社: 世界圖書齣版公司
ISBN:9787510004681
版次:1
商品編碼:10888246
包裝:平裝
外文名稱:Algebraic Surfaces and Holomorphic Vector Bundle
開本:24開
齣版時間:2009-06-01
用紙:膠版紙
頁數:328

代數麯麵和全純嚮量叢 [Algebraic Surfaces and Holomorphic Vector Bundle] epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

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代數麯麵和全純嚮量叢 [Algebraic Surfaces and Holomorphic Vector Bundle] epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

代數麯麵和全純嚮量叢 [Algebraic Surfaces and Holomorphic Vector Bundle] pdf epub mobi txt 電子書 下載 2024



具體描述

目錄

Preface
Introduction
1 Curves on a Surface
Introduction
Invariants of a surface
Divisors on a surface
Adjunetion and arithmetic genus
The Riemann-Roch formula
Algebraic proof of the Hodge index theorem
Ample and nef divisors
Exercises

2 Coherent Sheaves
What is a coherent sheaf?
A rapid review of Chern classes for projective varieties
Rank 2 bundles and sub-line bundles
Elementary modifications
Singularities of coherent sheaves
Torsion free and reflexive sheaves
Double covers
Appendix: some commutative algebra
Exercises

3 B|ratlonal Geometry
Blowing up
The Castelnuovo criterion and factorization of birationa] morphisms
Minimal models
More general contractions
Exercises

4 Stability
Definition of Mumford-Takemoto stability
Examples for curves
Some examples of stable bundles on p2
Gieseker stability
Unstable and semlstable sheaves
Change of polarization
The differential geometry of stable vector bundles
Exercises

5 Some Examples of Surfaces
Rational ruled surfaces
General ruled surfaces
Linear systems of cubics
An introduction to K3 surfaces
Exercises

6 Vector Bundles over Ruled Surfaces
Suitable ample divisors
Ruled sur faces
A brief introduction to local and global moduli
A Zariski open subeet of the moduli space
Exercises

7 An Introduction to Elliptic Surfaces
Singular fibers
Singulex fibers of elliptic fibrations
lnvariants and the canonical bundle formula
Elliptic surfaces with a section and Weierstrass models
More general elliptic surfaces
The fundamental group
Exercises

8 Vector Bundles over Elliptic Surfaces
Stable bundles on singular curves
Stable bundles of odd fiber degree over elliptie surface*
A Zariski open subset of the modnii space
An overview of Donaldson invariants
The 2-dimensional invariant
……
9 Bogomolov's Inequality and Applications
10 Classification of Algebraic Surfaces and of Stable Bundles
References
Index

前言/序言



代數麯麵和全純嚮量叢 [Algebraic Surfaces and Holomorphic Vector Bundle] 下載 mobi epub pdf txt 電子書
代數麯麵和全純嚮量叢 [Algebraic Surfaces and Holomorphic Vector Bundle] pdf epub mobi txt 電子書 下載
想要找書就要到 求知書站
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

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