16 lines
1.0 KiB
Plaintext
16 lines
1.0 KiB
Plaintext
Gfan is a software package for computing Groebner fans and tropical varieties.
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These are polyhedral fans associated to polynomial ideals. The maximal cones of
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a Groebner fan are in bijection with the marked reduced Groebner bases of its
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defining ideal. The software computes all marked reduced Groebner bases of an
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ideal. Their union is a universal Groebner basis. The tropical variety of a
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polynomial ideal is a certain subcomplex of the Groebner fan. Gfan contains
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algorithms for computing this complex for general ideals and specialized
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algorithms for tropical curves, tropical hypersurfaces and tropical varieties of
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prime ideals. In addition to the above core functions the package contains many
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tools which are useful in the study of Groebner bases, initial ideals and
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tropical geometry. Among these are an interactive traversal program for Groebner
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fans and programs for graphical renderings.
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For ordinary Groebner basis computations Gfan is not competitive in speed
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compared to programs such as CoCoA, Singular and Macaulay2.
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