{"query": "M. Artin 1966 — On the conjectures of Birch and Swinnerton-D", "count": 3, "results": [{"id": "card_src_mill_artin_tate_1966", "title": "M. Artin 1966 — On the conjectures of Birch and Swinnerton-Dyer and a geometric analog", "shelf": "millennium", "surface": "secular", "snippet": "M. Artin, J. Tate (1966). On the conjectures of Birch and Swinnerton-Dyer and a geometric analog. Séminaire Bourbaki 9 (1964–66), exp. 306, 415–440. Canonical: http://www.numdam.org/item/SB_1964-1966_", "authority_tier": "reference", "source": "M. Artin, J. Tate (1966), Séminaire Bourbaki 9 (1964–66), exp. 306, 415–440", "readable": false, "generated": false}, {"id": "card_joint_tate_conjecture", "title": "The Tate conjecture: Hodge's arithmetic twin, and BSD over function fields", "shelf": "codex", "surface": "secular", "snippet": "Tate's conjecture (1965) is the Hodge conjecture with Galois representations in place of Hodge structures. For an elliptic surface over a finite field, the Tate conjecture is equivalent to the Birch a", "authority_tier": "engine_derived", "source": "Narrow Highway - the Millennium floor, a joint found in the literature (operator seed)", "readable": false, "generated": false}, {"id": "card_src_mill_milne_1975", "title": "J. S. Milne 1975 — On a conjecture of Artin and Tate", "shelf": "millennium", "surface": "secular", "snippet": "J. S. Milne (1975). On a conjecture of Artin and Tate. Ann. Math. 102 (1975) 517–533. DOI 10.2307/1971042. Canonical: https://doi.org/10.2307/1971042. No free copy found; cited by its record. License ", "authority_tier": "reference", "source": "J. S. Milne (1975), Ann. Math. 102 (1975) 517–533", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_src_mill_artin_tate_1966"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}