{"id": "card_chain_mordell_1922", "kind": "reference", "title": "Mordell 1922 — On the rational solutions of the indeterminate equations of the third and fourth degrees", "body": "L. J. Mordell (1922). On the rational solutions of the indeterminate equations of the third and fourth degrees. Proc. Cambridge Philos. Soc. 21 (1922) 179–192. Cited by its record. License as found: public domain (the author died more than a century ago, or the work was published before 1930). What it gave the chain: the group of rational points is finitely generated.", "source": {"label": "L. J. Mordell (1922), Proc. Cambridge Philos. Soc. 21 (1922) 179–192", "url": "", "domain": "mathematics", "authority_tier": "reference"}, "shelf": "codex", "box": "chain", "bands": ["chain", "record", "1922", "mordell", "mathematics"], "subject": "On the rational solutions of the indeterminate equations of the third and fourth degrees", "connections": [{"to_card_id": "card_chain_poincare_1901", "relationship": "builds_on", "evidence": "the group of rational points is finitely generated"}, {"to_card_id": "card_chain_weil_1929", "relationship": "enables", "evidence": "Mordell's theorem for every abelian variety, by heights - the logarithm of the size of a point"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.chain", "facets": {"subject": ["1922", "mathematics", "mordell", "record"]}, "presentation": {"glyph": "•", "kind_label": "chain", "by": "L. J. Mordell (1922), Proc. Cambridge Philos. Soc. 21 (1922) 179–192", "authority": "reference", "posted": "", "standing": ""}, "neighbors": [{"id": "card_chain_poincare_1901", "title": "Poincaré 1901 — Sur les propriétés arithmétiques des courbes algébriques", "relationship": "builds on", "why": "the group of rational points is finitely generated", "href": "/card/card_chain_poincare_1901", "resolved": true}, {"id": "card_chain_weil_1929", "title": "Weil 1929 — L'arithmétique sur les courbes algébriques", "relationship": "enables", "why": "Mordell's theorem for every abelian variety, by heights - the logarithm of the size of a point", "href": "/card/card_chain_weil_1929", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_chain_mordell_1922", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_chain_mordell_1922"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}