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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.

Package version:0.3-2.2


*************            genus2reduction             *************
                         November 7th, 1994

WHAT THIS PROGRAM DOES.............................................

Let C be a proper smooth curve of genus 2 defined by a hyperelliptic

where P(x) and Q(x) are polynomials with rational coeffic


genus2reduction (0.3-2.2) unstable; urgency=low

  * Non-maintainer upload.
  * Fix "Unversioned build-dependency on libpari-dev": make it versioned.
    (Closes: #644091)
  * Fix "Please allow building with ld --as-needed":
    add patch from Ubuntu / Andreas Moog:
    - Libraries needed to link the package should go into LDADD and after
      sources on the linker command line to fix an issue wi


Some bugs have been fixed and modifications have
been done according to new syntaxes in pari 2.0.


Well, it is obvious that the incomplete case p=2
is irritating. Also it should be interesting
to get


Many thanks to Henri Cohen who started writing this program. 
After this program is available, many 


This package was debianized by Tim Abbott <> in 2008.

It was downloaded from http://

Browse inside genus2reduction_0.3-2.2_kfreebsd-i386.deb

         [DIR]DEBIAN/ (2)  65535+ mirrors
         [DIR]usr/ (2)  65535+ mirrors

Download genus2reduction_0.3-2.2_kfreebsd-i386.deb

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