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# genus2reduction

## 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.

 Homepage: http://www.math.u-bordeaux.fr/~liu/G2R/ Package version: 0.3-2.2 Architecture: mips Distribution: Debian Filename: genus2reduction_0.3-2.2_mips.deb

```*************            genus2reduction             *************

November 7th, 1994

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

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 coeffic
more»```

## /usr/share/doc/genus2reduction/changelog.Debian.gz

```genus2reduction (0.3-2.2) unstable; urgency=low

* 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
more»```

## /usr/share/doc/genus2reduction/changelog.gz

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

```

## /usr/share/doc/genus2reduction/TODO

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

## /usr/share/doc/genus2reduction/THANKS

```Many thanks to Henri Cohen who started writing this program.
After this program is available, many
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```This package was debianized by Tim Abbott <tabbott@mit.edu> in 2008.