Regulators of Elliptic Curves
نویسندگان
چکیده
منابع مشابه
On Silverman's conjecture for a family of elliptic curves
Let $E$ be an elliptic curve over $Bbb{Q}$ with the given Weierstrass equation $ y^2=x^3+ax+b$. If $D$ is a squarefree integer, then let $E^{(D)}$ denote the $D$-quadratic twist of $E$ that is given by $E^{(D)}: y^2=x^3+aD^2x+bD^3$. Let $E^{(D)}(Bbb{Q})$ be the group of $Bbb{Q}$-rational points of $E^{(D)}$. It is conjectured by J. Silverman that there are infinitely many primes $p$ for which $...
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Elliptic divisibility sequences are integer recurrence sequences, each of which is associated to an elliptic curve over the rationals together with a rational point on that curve. In this paper we present a higher-dimensional analogue over arbitrary base fields. Suppose E is an elliptic curve over a field K, and P1, . . . , Pn are points on E defined over K. To this information we associate an ...
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1. Throughout P = C ∪ {∞} denotes the Riemann sphere, H denotes the upper half plane, C∗ denotes the multiplicative group of complex numbers, and P = (C \ {0})/C∗ denotes n dimensional complex projective space. For w ∈ C \{0} let [w] := wC∗ denote the corresponding point of P. For A ∈ GLn+1(C) let MA denote the corresponding automorphism of projective space so that MA([w]) = [Aw]. Identify P an...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2018
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rny285