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Package: gfan (0.3dfsg-1.1)

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Program for computing with Groebner fans

Gfan is a software package for computing Groebner fans and tropical varieties. These are polyhedral fans associated to polynomial ideals. The maximal cones of a Groebner fan are in bijection with the marked reduced Groebner bases of its defining ideal. The software computes all marked reduced Groebner bases of an ideal. Their union is a universal Groebner basis. The tropical variety of a polynomial ideal is a certain subcomplex of the Groebner fan. Gfan contains algorithms for computing this complex for general ideals and specialized algorithms for tropical curves, tropical hypersurfaces and tropical varieties of prime ideals. In addition to the above core functions the package contains many tools which are useful in the study of Groebner bases, initial ideals and tropical geometry. Among these are an interactive traversal program for Groebner fans and programs for graphical renderings.

For ordinary Groebner basis computations Gfan is not competitive in speed compared to programs such as CoCoA, Singular and Macaulay2.

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Download for all available architectures
Architecture Package Size Installed Size Files
amd64 451.9 kB1,028.0 kB [list of files]
armel 378.2 kB826.0 kB [list of files]
armhf 354.6 kB622.0 kB [list of files]
i386 446.3 kB1,033.0 kB [list of files]
ia64 695.7 kB2,111.0 kB [list of files]
kfreebsd-amd64 452.0 kB1,023.0 kB [list of files]
kfreebsd-i386 445.7 kB1,000.0 kB [list of files]
mips 394.8 kB1,060.0 kB [list of files]
mipsel 395.1 kB1,060.0 kB [list of files]
powerpc 447.6 kB1,015.0 kB [list of files]
s390 429.0 kB1,006.0 kB [list of files]
s390x 460.0 kB1,120.0 kB [list of files]
sparc 416.1 kB985.0 kB [list of files]