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Weil 1929 — L'arithmétique sur les courbes algébriques
chain
A. Weil (1929). L'arithmétique sur les courbes algébriques. Acta Math. 52 (1929) 281–315. DOI 10.1007/BF02592688. Canonical: https://doi.org/10.1007/BF02592688. Cited by its record. License as found: cited by its record. What it gave the chain: Mordell's theorem for every abelian variety, by heights - the logarithm of the size of a point.
source
card id
card_chain_weil_1929
address
WIT.codex.FCT/l-arithm-tique-sur-les-courbes-alg-briques/REF.WITNESSED@a-weil
adjoining cards
- builds on → Euler 1748 — Introductio in analysin infinitorum (E101-E102) — Mordell's theorem for every abelian variety, by heights - the logarithm of the size of a p
- enables → Néron 1965 — Quasi-fonctions et hauteurs sur les variétés abéliennes — the canonical (Néron-Tate) height: the logarithm of the size of a point, made quadratic
- builds on → Mordell 1922 — On the rational solutions of the indeterminate equations of the third and fourth degrees — Mordell's theorem for every abelian variety, by heights - the logarithm of the size of a p
- enables → Cassels 1962 — Arithmetic on curves of genus 1. IV. Proof of the Hauptvermutung — the alternating pairing on Sha: if finite, its order is a square
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