Package: genus2reduction (0.3-2)
Links for genus2reduction
Download Source Package genus2reduction:
- Homepage [www.math.u-bordeaux.fr]
Conductor and Reduction Types for Genus 2 Curves
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.
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