In this chapter, we demonstrate the main results on finiteness and determine the structure of Selmer groups and Shafarevich-Tate groups under suitable hypotheses using Heegner point and CM point Kolyvagin systems.

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Selmer Groups and Kolyvagin Systems

  • M. L. Brown

摘要

In this chapter, we demonstrate the main results on finiteness and determine the structure of Selmer groups and Shafarevich-Tate groups under suitable hypotheses using Heegner point and CM point Kolyvagin systems.