| Statement of results / John Coates1： |
| Basic properties of the Selmer group / 2： |
| Local cohomology calculations / 3： |
| Global calculations / 4： |
| Iwasawa Theory for Elliptic Curves / Ralph Greenberg |
| Introduction |
| Kummer theory for E |
| Control theorems |
| Calculation of an Euler characteristic |
| Conclusion / 5： |
| A local study at N / Kenneth A. Ribet |
| The kernel of the Eisenstein ideal |
| Lenstra's input |
| Proof of Theorem 1.7 |
| Adelic representations / 6： |
| Proof of Theorem 1.6 / 7： |
| Elliptic Curves with Complex Multiplication and the Conjecture of Birch and Swinnerton-Dyer / Karl Rubin |
| Quick review of elliptic curves |
| Elliptic curves over C |
| Elliptic curves over local fields |
| Elliptic curves over number fields |
| Elliptic curves with complex multiplication |
| Descent |
| Elliptic units |
| Euler systems / 8： |
| Bounding ideal class groups / 9： |
| The theorem of Coates and Wiles / 10： |
| Iwasawa theory and the "main conjecture" / 11： |
| Computing the Selmer group / 12： |
| Statement of results / John Coates1： |
| Basic properties of the Selmer group / 2： |
| Local cohomology calculations / 3： |
ＥＢ
