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The objective of this chapter is to construct a Kolyvagin system starting from the Heegner systems defined in Sect. 6.5 . Special cases of these Heegner systems are the Heegner points and CM points on elliptic curves parameterized by classical modular curves and Drinfeld modular curves as well as Shimura curves. This will enable us to construct a Kolyvagin system for these instances.

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Kolyvagin Systems

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  • 发表日期：

    2025年

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  • M. L. Brown

摘要

The objective of this chapter is to construct a Kolyvagin system starting from the Heegner systems defined in Sect. 6.5 . Special cases of these Heegner systems are the Heegner points and CM points on elliptic curves parameterized by classical modular curves and Drinfeld modular curves as well as Shimura curves. This will enable us to construct a Kolyvagin system for these instances.