NAME

       gfan - tool to compute Gröbner fans and tropical varieties

SYNOPSIS

       gfan_tool [options]

       gfan _tool [options]

DESCRIPTION

       Gfan  is  a software package for computing Gröbner fans and tropical varieties.  These are
       polyhedral fans associated to polynomial ideals. The maximal cones of a Gröbner fan are in
       bijection  with  the  marked  reduced  Gröbner  bases  of its defining ideal. The software
       computes all marked reduced Gröbner bases of an ideal. Their union is a universal  Gröbner
       basis.  The  tropical variety of a polynomial ideal is a certain subcomplex of the Gröbner
       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 Gröbner bases, initial ideals and tropical geometry.

       The complete list of tools is:

       bases,   buchberger,   combinerays,  doesidealcontain,  fancommonrefinement,  fanhomology,
       fanlink,   fanproduct,   fansubfan,   genericlinearchange,   groebnercone,    groebnerfan,
       homogeneityspace,    homogenize,    initialforms,    interactive,   ismarkedgroebnerbasis,
       krulldimension, latticeideal, leadingterms, list, markpolynomialset, minkowskisum, minors,
       mixedvolume, overintegers, padic, polynomialsetunion, render, renderstaircase, saturation,
       secondaryfan, stats,  substitute,  symmetries,  tolatex,  topolyhedralfan,  tropicalbasis,
       tropicalbruteforce,     tropicalevaluation,     tropicalfunction,    tropicalhypersurface,
       tropicalintersection,    tropicallifting,    tropicallinearspace,    tropicalmultiplicity,
       tropicalrank, tropicalstartingcone, tropicaltraverse, tropicalweildivisor, version.

       Below  are presented the generic options available with all tools. For specific options of
       a given tool, we refer to the help message of that tool.

OPTIONS

       --help Display a help message describing the functionality of gfan_tool and the  available
              specific options.

       --log1, --log2...
              Tell  Gfan  how  much information to write to standard error while a computation is
              running. These options are very useful when you wish to know if Gfan is making  any
              progress in its computation.

       --stdin value
              Specify a file to use as input instead of reading from the standard input.

       --stdout value
              Specify a file to write output to instead of writing to the standard output.

       --xml  Let  polyhedral fans be output in an XML format instead of in the text format. (The
              XML files are not readable by Gfan.)

SEE ALSO

       The  complete  manual  of  Gfan  is  available  from   the   website   of   the   project:
       http://home.imf.au.dk/jensen/software/gfan/gfan.html