./wip/genus2reduction, Conductor and Reduction Types for Genus 2 Curves

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Branch: CURRENT, Version: 0.3, Package name: genus2reduction-0.3, Maintainer: jihbed.research

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


Required to run:
[math/pari]

Required to build:
[pkgtools/cwrappers]

Master sites:

RMD160: a1815b9ac6102a48124f3b07ba2f8a215cc7fea9
Filesize: 15.939 KB

Version history: (Expand)


CVS history: (Expand)


   2013-02-12 19:35:01 by Sergey Svishchev | Files touched by this commit (4)
Log message:
Update HOMEPAGE URLs.
   2012-09-29 02:50:33 by Aleksej Saushev | Files touched by this commit (158)
Log message:
Drop superfluous PKG_DESTDIR_SUPPORT, "user-destdir" is default these days.
Mark packages that don't or might probably not have staged installation.
   2011-05-09 22:20:10 by Kamel Derouiche | Files touched by this commit (6) | Imported package
Log message:
Import genus2reduction-0.3 as wip/genus2reduction.

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