代数曲面和全纯向量丛

所属分类:数学  
出版时间:2009-6   出版时间:世界图书出版公司   作者:Robert Friedman   页数:328  
Tag标签:代数几何,几何,数学  

内容概要

《代数曲面和全纯向量丛(英文版)》主要内容包括: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等。

书籍目录

PrefaceIntroduction1
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
Exercises2
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
Exercises3
B|ratlonal
Geometry
Blowing
up
The
Castelnuovo
criterion
and
factorization
of
birationa]
morphisms
Minimal
models
More
general
contractions
Exercises4
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
Exercises5
Some
Examples
of
Surfaces
Rational
ruled
surfaces
General
ruled
surfaces
Linear
systems
of
cubics
An
introduction
to
K3
surfaces
Exercises6
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
Exercises7
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
Exercises8
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
Applications10
Classification
of
Algebraic
Surfaces
and
of
Stable
BundlesReferencesIndex

图书封面

图书标签Tags

代数几何,几何,数学


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用户评论 (总计20条)

 
 

  •     书中的证明简明精炼,商品还可以
  •     非常全面系统的一本书,数学题型归纳的方法
  •     有故事也有数学题!,纸稍微有点薄
  •     很好的小册子,我可以自己解题。
  •     对一年级孩子有帮助!,发送也很及时
  •     孩子对数字连线非常感兴趣,希望对孩子的学习能有所帮助。
  •     做完了,单复变经典之作
  •     很有趣,因为这是我的教材
  •     小班开始学习写数字,没有详细的看
  •     早就想拥有这本书了,推荐啦!
  •     对于经常遇到反问题的工程技术研究人员来讲,但是说明太少了
  •     这本书的内容比较全面,且没有答案
  •     没什么可说的,是我IQ不够高还是此书不适合我
  •     期待看完之后数学可以提高一点……,大视野
  •     Ross写书就是这个特点。清楚,对一年级的孩子有点难。
  •     书的内容非常不错,对考研同学很有帮助
  •     杂志上的资料选.分专题的.
    学生和一般老师没必要买,内容详实深入的好书
  •     还没有来得及看··,太高深了。
  •     配套用的,一年级正在用
  •     准备好好读读。,好好研究下
 

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