120
Voted
ANTS
15 years 2 months ago
2008 Springer 
We discuss arithmetic in the Jacobian of a hyperelliptic curve C of genus g. The traditional approach is to fix a point P C and represent divisor classes in the form E - d(P) wher...
ANTS
15 years 2 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 ...
120
Voted
ANTS
15 years 2 months ago
2008 Springer 
In previous work, the first author developed an algorithm for the computation of Hilbert modular forms. In this paper, we extend this to all totally real number fields of even degr...
97
Voted
ANTS
15 years 2 months ago
2008 Springer 
We discuss the computation of coefficients of the L-series associated to a hyperelliptic curve over Q of genus at most 3, using point counting, generic group algorithms, and p-adic...
111
Voted
ANTS
15 years 2 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 < ...
|
Algorithms