207
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ANTS
2008
Springer
15 years 9 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...
204
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ANTS
2008
Springer
15 years 9 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...
194
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ANTS
2008
Springer
15 years 9 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 < ...