《割圆域导论(第2版)(英文)》介绍了Since the publication of the first edition,several remarkable developments have taken place.The work of Thaine,Kolyvagin,and Rubin has produced fairly elementary proofs of Ribet's converse of Herbrand's theorem and of the Main Conjecture.The original proofs of both of these results used delicate techniques from algebraic geometry and were inaccessible to many readers.
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