Jeremy Teitelbaum | University of Connecticut (original) (raw)
Address: Storrs Mansfield, Connecticut, United States
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Papers by Jeremy Teitelbaum
Inventiones Mathematicae, 1986
The conjectures of Birch and Swinnerton-Dyer connect arithmetic invariants of an elliptic curve E... more The conjectures of Birch and Swinnerton-Dyer connect arithmetic invariants of an elliptic curve E over Q (or more generally of an abelian variety over a global field) with the order of zero and the leading coefficient of the Taylor expansion of its Hasse-Weil zeta function at the "central point". One of the arithmetic invariants entering into this conjecture is the "regulator of E", i.e., the discriminant of the quadratic form on E(Q) defined by the "canonical height pairing".
Inventiones Mathematicae, 1986
The conjectures of Birch and Swinnerton-Dyer connect arithmetic invariants of an elliptic curve E... more The conjectures of Birch and Swinnerton-Dyer connect arithmetic invariants of an elliptic curve E over Q (or more generally of an abelian variety over a global field) with the order of zero and the leading coefficient of the Taylor expansion of its Hasse-Weil zeta function at the "central point". One of the arithmetic invariants entering into this conjecture is the "regulator of E", i.e., the discriminant of the quadratic form on E(Q) defined by the "canonical height pairing".