Hodge猜想概论（第二版）（影印版）
定价：￥169.00
作者： James D.Lewis
出版社：高等教育出版社
- 高等教育出版社
- 9787040659641
- 2版
- 64270643-6
- 特殊
- 理学
- 数学类
- 数学类
- 本科 研究生及以上
目录
目录
前辅文
Preface to the First Edition
Preface to the Second Edition
A Brief Description of the Contents in these Lectures
Lecture 1. Complex Manifolds
Lecture 2. Vector Bundles
Lecture 3. Kahler Manifolds
Lecture 4. Line Bundles
Lecture 5. The Lefschetz (1,1) Theorem
Lecture 6. The Lefschetz (1,1) Theorem Revisited
Lecture 7. Formulation of the General Hodge Conjecture
Lecture 8. Chern Class Theory
Lecture 9. Cohomology of Complete Intersections
Lecture 10. The Hodge Theorem
Lecture 11. Analytic and Topological Necessities of the Kahler Condition
Lecture 12. Intermediate Jacobians
Lecture 13. Various Approaches to the Hodge Conjecture for Varieties With Well Understood Geometric Structure
Lecture 14. The Approach to the Hodge Conjecture via Normal Functions
Lecture 15. Hodge Theory and Chow Groups
Appendix A. Results and Formulations in the Singular Case
Appendix B. A Survey of the Hodge Conjecture for Abelian Varieties
Index
Index of Notation
前辅文
Preface to the First Edition
Preface to the Second Edition
A Brief Description of the Contents in these Lectures
Lecture 1. Complex Manifolds
Lecture 2. Vector Bundles
Lecture 3. Kahler Manifolds
Lecture 4. Line Bundles
Lecture 5. The Lefschetz (1,1) Theorem
Lecture 6. The Lefschetz (1,1) Theorem Revisited
Lecture 7. Formulation of the General Hodge Conjecture
Lecture 8. Chern Class Theory
Lecture 9. Cohomology of Complete Intersections
Lecture 10. The Hodge Theorem
Lecture 11. Analytic and Topological Necessities of the Kahler Condition
Lecture 12. Intermediate Jacobians
Lecture 13. Various Approaches to the Hodge Conjecture for Varieties With Well Understood Geometric Structure
Lecture 14. The Approach to the Hodge Conjecture via Normal Functions
Lecture 15. Hodge Theory and Chow Groups
Appendix A. Results and Formulations in the Singular Case
Appendix B. A Survey of the Hodge Conjecture for Abelian Varieties
Index
Index of Notation
前辅文
Preface to the First Edition
Preface to the Second Edition
A Brief Description of the Contents in these Lectures
Lecture 1. Complex Manifolds
Lecture 2. Vector Bundles
Lecture 3. Kahler Manifolds
Lecture 4. Line Bundles
Lecture 5. The Lefschetz (1,1) Theorem
Lecture 6. The Lefschetz (1,1) Theorem Revisited
Lecture 7. Formulation of the General Hodge Conjecture
Lecture 8. Chern Class Theory
Lecture 9. Cohomology of Complete Intersections
Lecture 10. The Hodge Theorem
Lecture 11. Analytic and Topological Necessities of the Kahler Condition
Lecture 12. Intermediate Jacobians
Lecture 13. Various Approaches to the Hodge Conjecture for Varieties With Well Understood Geometric Structure
Lecture 14. The Approach to the Hodge Conjecture via Normal Functions
Lecture 15. Hodge Theory and Chow Groups
Appendix A. Results and Formulations in the Singular Case
Appendix B. A Survey of the Hodge Conjecture for Abelian Varieties
Index
Index of Notation
前辅文
Preface to the First Edition
Preface to the Second Edition
A Brief Description of the Contents in these Lectures
Lecture 1. Complex Manifolds
Lecture 2. Vector Bundles
Lecture 3. Kahler Manifolds
Lecture 4. Line Bundles
Lecture 5. The Lefschetz (1,1) Theorem
Lecture 6. The Lefschetz (1,1) Theorem Revisited
Lecture 7. Formulation of the General Hodge Conjecture
Lecture 8. Chern Class Theory
Lecture 9. Cohomology of Complete Intersections
Lecture 10. The Hodge Theorem
Lecture 11. Analytic and Topological Necessities of the Kahler Condition
Lecture 12. Intermediate Jacobians
Lecture 13. Various Approaches to the Hodge Conjecture for Varieties With Well Understood Geometric Structure
Lecture 14. The Approach to the Hodge Conjecture via Normal Functions
Lecture 15. Hodge Theory and Chow Groups
Appendix A. Results and Formulations in the Singular Case
Appendix B. A Survey of the Hodge Conjecture for Abelian Varieties
Index
Index of Notation
