点击选择搜索分类
首页 - 旅游期刊- 正文
☆☆☆☆☆
||
A.N.Parshin,I.R.Shafarevich(Eds.) 著
出版社: 科学出版社有限责任公司 ISBN:9787030234896 版次:1 商品编码:11895611 包装:精装 丛书名: 国外数学名著系列(续一)(影印版)46 外文名称:Algebraic Geometry V:Fano Varieties 开本:16开 出版时间:2009-01-01 用纸:胶版纸 页数:247 字数:
Chapter 1. Preliminaries
1.1. Singularities
1.2. On Numerical Geometry of Cycles
1.3. On the Mori Minimal Model Program
1.4. Results on Minimal Models in Dimension Three
Chapter 2. Basic Properties of Fano Varieties
2.1. Definitions, Examples and the Simplest Properties
2.2. Some General Results
2.3. Existence of Good Divisors in the Fundamental Linear System
2.4. Base Points in the Fundamental Linear System
Chapter 3. Del Pezzo Varieties and Fano Varieties of Large Index
3.1. On Some Preliminary Results of Fujita
3.2. Del Pezzo Varieties. Definition and Preliminary Results
3.3. Nonsingular del Pezzo Varieties. Statement of the Main Theorem and Beginning of the Proof
3.4. Del Pezzo Varieties with Picard Number p=1
Continuation of the Proof of the Main Theorem
3.5. Del Pezzo Varieties with Picard Number p≥2
Conclusion of the Proof of the Main Theorem
Chapter 4. Fano Threefolds with p= 1
4.1. Elementary Rational Maps: Preliminary Results
4.2. Families of Lines and Conics on Fano Threefolds
4.3. Elementary Rational Maps with Center along a Line
4.4. Elementary Rational Maps with Center along a Conic
4.5. Elementary Rational Maps with Center at a Point
4.6. Some Other Rational Maps
Chapter 5. Fano Varieties of Coindex 3 with p= 1
The Vector Bundle Method
5.1. Fano Threefolds of Genus 6 and 8: Gushel's Approach
5.2. A Review of Mukai's Results on the Classification of Fano Manifolds of Coindex 3
Chapter 6. Boundedness and Rational Connectedness of Fano Varieties
6.1. Uniruledness
6.2. Rational Connectedness of Fano Varieties
Chapter 7. Fano Varieties with p≥ 2
7.1. Fano Threefolds with Picard Number p≥ 2 (Survey of Results of Mori and Mukai
7.2. A Survey of Results about Higher-dimensional Fano Varieties with Picard Number p≥ 2
Chapter 8. Rationality Questions for Fano Varieties I
8.1. Intermediate Jacobian and Prym Varieties
8.2. Intermediate Jacobian: the Abel-Jacobi Map
8.3. The Brauer Groupas a Birational Invariant
Chapter 9. Rationality Questions for Fano Varieties II
9.1. Birational Automorphisms of Fano Varieties
9.2. Decomposition of Birational Maps in the Context of Mori Theory
Chapter 10. Some General Constructions of Rationality and Unirationality
10.1. Some Constructions of Unirationality
10.2. Unirationality of Complete Intersections
10.3. Some General Constructions of Rationality
Chapter 11. Some Particular Results and Open Problems
11.1. On the Classification of Three-dimensional -Fano Varieties
11.2. Generalizations
11.3. Some Particular Results
11.4. Some Open Problems
Chapter 12. Appendix: Tables
12.1. Del Pezzo Manifolds
12.2. Fano Threefolds with p= 1
12.3. Fano Threefolds with p= 2
12.4. Fano Threefolds with p= 3
12.5. Fano Threefolds with p= 4
12.6. Fano Threefolds with p≥ 5
12.7. Fano Fourfolds of Index 2 with p≥ 2
12.8. Toric Fano Threefolds
References
Index
国外数学名著系列46(续一 影印版) 代数几何5:Fano簇 [Algebraic Geometry V:Fano Varieties] 电子书 下载 mobi epub pdf txt
国外数学名著系列46(续一 影印版) 代数几何5:Fano簇 [Algebraic Geometry V:Fano Varieties]-so88
国外数学名著系列46(续一 影印版) 代数几何5:Fano簇 [Algebraic Geometry V:Fano Varieties] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
A.N.Parshin,I.R.Shafarevich(Eds.) 著
出版社: 科学出版社有限责任公司 ISBN:9787030234896 版次:1 商品编码:11895611 包装:精装 丛书名: 国外数学名著系列(续一)(影印版)46 外文名称:Algebraic Geometry V:Fano Varieties 开本:16开 出版时间:2009-01-01 用纸:胶版纸 页数:247 字数:
内容简介
This book will be very useful as a reference and research guide for researchers and graduate students in algebraic geometry.The aim of this survey, written by V. A. lskovskikh and Yu. G.Prokhorov, is to provide an exposition of the structure theory of Fano varieties, i.e. algebraic varieties with an ample anticanonical divisor.Such varieties naturally appear in the birational classification of varieties of negative Kodaira dimension, and they are very close to rational ones. This EMS volume covers different approaches to the classification of Fano varieties such as the classical Fanolskovskikh"double projection"method and its modifications,the vector bundles method due to S. Mukai, and the method of extremal rays. The authors discuss uniruledness and rational connectedness as well as recent progress in rationality problems of Fano varieties. The appendix contains tables of some classes of Fano varieties.内页插图
目录
IntroductionChapter 1. Preliminaries
1.1. Singularities
1.2. On Numerical Geometry of Cycles
1.3. On the Mori Minimal Model Program
1.4. Results on Minimal Models in Dimension Three
Chapter 2. Basic Properties of Fano Varieties
2.1. Definitions, Examples and the Simplest Properties
2.2. Some General Results
2.3. Existence of Good Divisors in the Fundamental Linear System
2.4. Base Points in the Fundamental Linear System
Chapter 3. Del Pezzo Varieties and Fano Varieties of Large Index
3.1. On Some Preliminary Results of Fujita
3.2. Del Pezzo Varieties. Definition and Preliminary Results
3.3. Nonsingular del Pezzo Varieties. Statement of the Main Theorem and Beginning of the Proof
3.4. Del Pezzo Varieties with Picard Number p=1
Continuation of the Proof of the Main Theorem
3.5. Del Pezzo Varieties with Picard Number p≥2
Conclusion of the Proof of the Main Theorem
Chapter 4. Fano Threefolds with p= 1
4.1. Elementary Rational Maps: Preliminary Results
4.2. Families of Lines and Conics on Fano Threefolds
4.3. Elementary Rational Maps with Center along a Line
4.4. Elementary Rational Maps with Center along a Conic
4.5. Elementary Rational Maps with Center at a Point
4.6. Some Other Rational Maps
Chapter 5. Fano Varieties of Coindex 3 with p= 1
The Vector Bundle Method
5.1. Fano Threefolds of Genus 6 and 8: Gushel's Approach
5.2. A Review of Mukai's Results on the Classification of Fano Manifolds of Coindex 3
Chapter 6. Boundedness and Rational Connectedness of Fano Varieties
6.1. Uniruledness
6.2. Rational Connectedness of Fano Varieties
Chapter 7. Fano Varieties with p≥ 2
7.1. Fano Threefolds with Picard Number p≥ 2 (Survey of Results of Mori and Mukai
7.2. A Survey of Results about Higher-dimensional Fano Varieties with Picard Number p≥ 2
Chapter 8. Rationality Questions for Fano Varieties I
8.1. Intermediate Jacobian and Prym Varieties
8.2. Intermediate Jacobian: the Abel-Jacobi Map
8.3. The Brauer Groupas a Birational Invariant
Chapter 9. Rationality Questions for Fano Varieties II
9.1. Birational Automorphisms of Fano Varieties
9.2. Decomposition of Birational Maps in the Context of Mori Theory
Chapter 10. Some General Constructions of Rationality and Unirationality
10.1. Some Constructions of Unirationality
10.2. Unirationality of Complete Intersections
10.3. Some General Constructions of Rationality
Chapter 11. Some Particular Results and Open Problems
11.1. On the Classification of Three-dimensional -Fano Varieties
11.2. Generalizations
11.3. Some Particular Results
11.4. Some Open Problems
Chapter 12. Appendix: Tables
12.1. Del Pezzo Manifolds
12.2. Fano Threefolds with p= 1
12.3. Fano Threefolds with p= 2
12.4. Fano Threefolds with p= 3
12.5. Fano Threefolds with p= 4
12.6. Fano Threefolds with p≥ 5
12.7. Fano Fourfolds of Index 2 with p≥ 2
12.8. Toric Fano Threefolds
References
Index
前言/序言
国外数学名著系列46(续一 影印版) 代数几何5:Fano簇 [Algebraic Geometry V:Fano Varieties] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 水生动植物
- 零基础学画画素描入门教程 自学速写静物结构临摹绘画书籍 学画画的书 飞乐鸟工作室 铅笔画
- 正版程世界未解之谜(彩图精装)9787511339423文若愚
- 手绘涂鸦系列 漫游奇境 秘密森林 魔幻花园 全4册 涂色书填色本图画本解压书籍 减压涂色书 艺术创意
- 漫游南北极
- 包邮 胆小别看画系列(共4册) 中野京子 著 中信出版社
- 动物世界-小宝贝学画画-2岁+蒙纸画
- 陆俨少课徒画稿:树竹藤蔓(下)
- 数字时代:1947-现在 9787535280190
- 2017国家司法考试法律法规汇编(双色应试版)
- 远离疼痛!缓解疼痛的科学 9787030401694 下地恒毅-RT
- 法律法规释义系列:中华人民共和国特种设备安全法释义
- BF-田园的理想国-大自然的理想国-张俊红 新疆美术摄影出版社,新疆电子音像出版社 978
- 中华人民共和国招标投标法实施条例释义
- 如何饲养小宠物(一)-小牛顿百科馆