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genus2reduction: Conductor and Reduction Types for Genus 2 Curves

Distribution Debian unstable
Abteilung math
Quelle genus2reduction
Version 0.3-2
Maintainer Tim Abbott <tabbott@mit.edu>
Beschreibung genus2reduction is a program for computing the conductor and
reduction types for a genus 2 hyperelliptic curve.
.
As an example of genus2reduction's functionality, let C be a proper smooth
curve of genus 2 defined by a hyperelliptic equation y^2+Q(x)y=P(x), where
P(x) and Q(x) are polynomials with rational coefficients such that
deg(Q(x))<4, deg(P(x))<7. Let J(C) be the Jacobian of C, let X be the minimal
regular model of C over the ring of integers Z.
.
This program determines the reduction of C at any prime number p (that
is the special fiber X_p of X over p), and the exponent f of the conductor
of J(C) at p.
Abhängig vonlibc6 (>= 2.7-1), libpari2-gmp (>= 2.3.1-1)
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