ANTS
2008
Springer
14 years 1 months ago
2008
Springer
ANTS
2008
Springer
14 years 1 months ago
2008
Springer
We present and analyze two algorithms for computing the Hilbert class polynomial HD. The first is a p-adic lifting algorithm for inert primes p in the order of discriminant D < ...
ANTS
2008
Springer
14 years 1 months ago
2008
Springer
ANTS
2008
Springer
14 years 1 months ago
2008
Springer
Abstract. We further analyze the solutions to the Diophantine equations from which prime-order elliptic curves of embedding degrees k = 3, 4 or 6 (MNT curves) may be obtained. We g...
ANTS
2008
Springer
14 years 1 months ago
2008
Springer
We enumerate all totally real number fields F with root discriminant F 14. There are 1229 such fields, each with degree [F : Q] 9. In this article, we consider the following prob...
ANTS
2008
Springer
14 years 1 months ago
2008
Springer
ANTS
2008
Springer
14 years 1 months ago
2008
Springer
We present an algorithm that, on input of a CM-field K, an integer k 1, and a prime r 1 mod k, constructs a q-Weil number OK corresponding to an ordinary, simple abelian variety ...
ANTS
2008
Springer
14 years 1 months ago
2008
Springer
Let K be a p-adic local field and E an elliptic curve defined over K. The component group of E is the group E(K)/E0(K), where E0(K) denotes the subgroup of points of good reduction...
ANTS
2008
Springer
14 years 1 months ago
2008
Springer
Abstract. The goal of this paper is to present computations investigating the "functorial" properties of Stark units, that is, how specific roots of Stark units from cert...
ANTS
2008
Springer
14 years 1 months ago
2008
Springer
We discuss how one can extend to hypersurfaces with isolated singularities the methods of Gerkmann, Abbott-Kedlaya-Roe and Lauder for counting points on smooth hypersurfaces.