Results 51 to 60 of about 811,200 (202)
Journal of Geometry and Physics, 1995 A detailed study is made of super elliptic curves, namely super Riemann surfaces of genus one considered as algebraic varieties, particularly their relation with their Picard groups. This is the simplest setting in which to study the geometric consequences of the fact that certain cohomology groups of super Riemann surfaces are not freely generated ...
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Journal of Mathematical Cryptology, 2018 In 2004, Muzereau, Smart and Vercauteren [A. Muzereau, N. P. Smart and F. Vercauteren, The equivalence between the DHP and DLP for elliptic curves used in practical applications, LMS J. Comput. Math. 7 2004, 50–72] showed how to use a reduction algorithm
Kushwaha Prabhat
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Elliptic curves and factoring. [PDF]
, 2010 The Elliptic Curve Method (ECM) is a powerful and widely used algorithm for factorization which can be implemented with several different forms of elliptic curves. We will give some general background on the theory of elliptic curves and the ideas behind
NC DOCKS at The University of North Carolina at Greensboro +1 more
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Aperiodic Photonics of Elliptic Curves
Crystals, 2019 In this paper we propose a novel approach to aperiodic order in optical science and technology that leverages the intrinsic structural complexity of certain non-polynomial (hard) problems in number theory and cryptography for the engineering of optical ...
Luca Dal Negro +2 more
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Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves
Complex Manifolds, 2017 We survey variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a Legendre family of elliptic curves, the curvature form of the relative Bergman kernel metric is equal to the Poincaré metric on ℂ \ {0,1}. The cases of other
Dong Robert Xin
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K(_2) and L-series of elliptic curves over real quadratic fields [PDF]
, 1995 This thesis examines the relationship between the L-series of an elliptic curve evaluated at s = 2 and the image of the regulator map when the curve is defined over a real quadratic field with narrow class number one, thus providing numerical evidence ...
Young, Michael Alexander, Young, M.A
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Elliptic curves and modularity [PDF]
, 2021 We survey results and conjectures concerning the modularity of elliptic curves over number ...
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Homogeneous Mapping Model of ECC for Preventing Differential Power Analysis [PDF]
Jisuanji gongcheng, 2017 Existing public key research is based on increasing the redundance operation of Elliptic Curve Cryptosystems(ECC) aginst Differential Power Analysis(DPA) attacks,it causes ECC efficiency low,and affects the application of ECC in computation resource ...
WU Keke,LI Huiyun,YAN Lijun
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Journal of Number Theory, 1993 Let \(J_ 0(N)/ \mathbb{Q}\) denote the Jacobian of the modular curve \(X_ 0(N)/ \mathbb{Q}\). Fix a prime \(p \geq 5\), and let \(K\) denote the maximal unramified extension of \(\mathbb{Q}_ p\). Given an abelian variety \(A/K\), the connected component of zero of the special fiber of its Néron model is an extension of an abelian variety of dimension \(
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Elliptic nets and elliptic curves [PDF]
Algebra & Number Theory, 2011 An elliptic divisibility sequence is an integer recurrence sequence 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 P_1, ..., P_n are points on E defined over K.
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