نتایج جستجو برای: elliptic

تعداد نتایج: 32153  

1999
Maurizio Parton

In this paper we describe a family of locally conformal Kähler metrics on class 1 Hopf surfaces Hα,β containing some recent metrics constructed in [GO98]. We study some canonical foliations associated to these metrics, in particular a 2-dimensional foliation Eα,β that is shown to be independent of the metric. We elementary prove that Eα,β has compact leaves if and only if α = β for some integer...

2012
NICHOLAS M. KATZ

This is (a slightly more detailed version of) our talk at the conference in honor of Laumon’s sixtieth birthday. We report here on some unexpected occurrences of G2, first stumbled upon experimentally, later proven, but still not understood. Proofs will appear elsewhere.

2005
Hitoshi Konno

We review a recent result on a formula of the generalized elliptic 6j-symbols expressed in terms of the fusion of the vertex-face intertwining vectors. The formula is derived by identifying the k fusion intertwining vectors with the change of base matrix elements from Sklyanin’s standard base to Rosengren’s natural base in the space of even theta functions of order 2k. We also give a list of ex...

2002
Neil S. Trudinger Xu-Jia Wang

An open problem in affine geometry is whether an affine complete locally uniformly convex hypersurface in Euclidean (n + 1)-space is Euclidean complete for n ≥ 2. In this paper we give the affirmative answer. As an application, it follows that an affine complete, affine maximal surface in R3 must be an elliptic paraboloid.

2012
Reza Rezaeian Farashahi Hongfeng Wu Changan Zhao

This paper presents new explicit formulae for the point doubling, tripling and addition for ordinary Weierstraß elliptic curves with a point of order 3 and their equivalent Hessian curves over finite fields of characteristic three. The cost of basic point operations is lower than that of all previously proposed ones. The new doubling, mixed addition and tripling formulae in projective coordinat...

Journal: :IACR Cryptology ePrint Archive 2006
Steven D. Galbraith

Frey proposed the idea of ‘disguising’ an elliptic curve. This is a method to obtain a ‘black box’ representation of a group. We adapt this notion to finite fields and tori and study the question of whether such systems are secure. Our main result is an algebraic attack which shows that it is not secure to disguise the torus T2. We also show that some methods for disguising an elliptic curve ar...

2009
Igor Nikolaev

A covariant functor on the elliptic curves with complex multiplication is constructed. The functor takes values in the noncommutative tori with real multiplication. A conjecture on the rank of an elliptic curve is formulated.

2012
Dohyeong Kim DOHYEONG KIM

Let E be an elliptic curve over Q. Using Iwasawa theory, we give what seems to be the first general upper bound for the order of vanishing of the p-adic L-function at s = 0, and the Zp-corank of the Tate-Shafarevich group for all sufficiently large good ordinary primes p.

2003
Teo Chun Yew Hailiza Kamarulhaili Putra Sumari

Elliptic curve cryptography is known for its complexity due to its discrete logarithm problem, and this gives advantage to the system used since the formula developed using this concept is hard to break, therefore this criteria has given mathematicians a courage to explore this area of research. Earlier in [10], we have showed a new method for imbedding plaintexts using complementary elliptic c...

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