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Kolyvagin 1989 — Finiteness of E(Q) and Sha(E, Q) for a subclass of Weil curves
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V. A. Kolyvagin (1989). Finiteness of E(Q) and Sha(E, Q) for a subclass of Weil curves. Math. USSR Izv. 32 (1989) 523–541. DOI 10.1070/IM1989v032n03ABEH000779. Canonical: https://doi.org/10.1070/IM1989v032n03ABEH000779. Cited by its record. License as found: IOP / Turpion — publisher's copyright, cited. What it gave the chain: Euler systems: analytic rank zero or one gives the algebraic rank and finite Sha - the theorem for ranks 0 and 1.
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card id
card_chain_kolyvagin_1989
address
WIT.codex.FCT/finiteness-of-e-q-and-sha-e-q-for-a-subclass-of-/REF.WITNESSED@v-a-kolyvagin
adjoining cards
- builds on → Gross 1986 — Heegner points and derivatives of L-series — Euler systems: analytic rank zero or one gives the algebraic rank and finite Sha - the the
- enables → Bhargava 2014 — A majority of elliptic curves over Q satisfy the Birch and Swinnerton-Dyer conjecture — at least 66.48% of elliptic curves over Q, ordered by height, satisfy the conjecture
- enables → The Birch and Swinnerton-Dyer conjecture — a later work standing on an earlier one
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