Main conjecture for Heegner points
Main conjecture for Heegner points
Let be the anticyclotomic Iwasawa algebra, let be the big Galois representation, and suppose is torsion-free of -rank one. Via the canonical isomorphism
let be the element mapping to , where is the -adic Heegner class. Main conjecture for Heegner points. The element is a -basis of . This is the determinant-line formulation of the anticyclotomic main conjecture relating Heegner classes to the Selmer complex; the source gives no resolution.
Sources & referencesView supporting material
Primary source
Francesc Castella and Takamichi Sano, “On refined nonvanishing conjectures by Kurihara and Kolyvagin”, arXiv:2601.14504 (2026).
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