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Package: genus2reduction (0.3-2)

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.

Other Packages Related to genus2reduction

  • depends
  • recommends
  • suggests
  • dep: libc0.1 (>= 2.3) [kfreebsd-amd64, kfreebsd-i386]
    GNU C Library: Shared libraries
    also a virtual package provided by libc0.1-udeb
  • dep: libc0.3 (>= 2.9) [hurd-i386]
    GNU C Library: Shared libraries
    also a virtual package provided by libc0.3-udeb
  • dep: libc6 (>= 2.5) [avr32]
    Embedded GNU C Library: Shared libraries
    also a virtual package provided by libc6-udeb
    dep: libc6 (>= 2.5-5) [m68k]
    dep: libc6 (>= 2.7-1) [not alpha, avr32, hurd-i386, ia64, kfreebsd-amd64, kfreebsd-i386, m68k]
  • dep: libc6.1 (>= 2.7-1) [alpha, ia64]
    Embedded GNU C Library: Shared libraries
    also a virtual package provided by libc6.1-udeb
  • dep: libpari2-gmp (>= 2.3.1-1) [not alpha, armel, avr32, hurd-i386, kfreebsd-amd64, kfreebsd-i386]
    PARI/GP Computer Algebra System shared library
    dep: libpari2-gmp (>= 2.3.4-1) [alpha, armel, avr32, hurd-i386, kfreebsd-amd64, kfreebsd-i386]

Download genus2reduction

Download for all available architectures
Architecture Package Size Installed Size Files
alpha 35.8 kB140 kB [list of files]
amd64 32.4 kB120 kB [list of files]
armel 30.1 kB108 kB [list of files]
avr32 (unofficial port) 33.6 kB112 kB [list of files]
hppa 31.7 kB116 kB [list of files]
hurd-i386 29.5 kB116 kB [list of files]
i386 29.8 kB116 kB [list of files]
ia64 42.1 kB188 kB [list of files]
kfreebsd-amd64 32.1 kB92 kB [list of files]
kfreebsd-i386 29.6 kB86 kB [list of files]
m68k (unofficial port) 25.5 kB120 kB [list of files]
mips 28.4 kB128 kB [list of files]
mipsel 28.5 kB128 kB [list of files]
powerpc 32.7 kB120 kB [list of files]
s390 28.8 kB112 kB [list of files]
sparc 29.7 kB112 kB [list of files]