For generalized Jacobians, we use the arithmetic genus π = g + deg m − 1 to construct the generalized Jacobian Jm of Xm. We endow X(π) with a rational group law in a similar way and proceed as in the smooth case.
This paper aims at introducing generalized Jacobians as a new candidate for discrete logarithm (DL) based cryptography. The mo- tivation for this work came from ...
This paper aims at introducing generalized Jacobians as a new candidate for discrete logarithm (DL) based cryptography. The mo- tivation for this work came from ...
In algebraic geometry a generalized Jacobian is a commutative algebraic group associated to a curve with a divisor, generalizing the Jacobian variety of a ...
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Explicit Arithmetic of Jacobians of Generalized Legendre Curves over Global Function Fields (Memoirs of the American Mathematical Society).
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Chapters · Introduction · 1. The curve, explicit divisors, and relations · 2. Descent calculations · 3. Minimal regular model, local invariants, and domination ...
This paper aims at introducing generalized Jacobians as a new candidate for discrete logarithm (DL) based cryptography. The motivation for this work came ...
We study the Jacobian J of the smooth projective curve C of genus r −1 with affine model yr = xr−1(x + 1)(x + t) over the function field Fp(t), ...
The arithmetic genus of X is the dimension g = dimk H1(X,L(0)) = dimk H1(X,OX). The following is a preliminary version of the Riemann-Roch theorem, which we ...
This paper aims at introducing generalized Jacobians as a new candidate for discrete logarithm (DL) based cryptography. The motivation for this work came ...
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