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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 Greobner 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. WWW: http://home.math.au.dk/jensen/software/gfan/gfan.html PR: 231186 Submitted by: Lorenzo Salvadore <phascolarctos@protonmail.ch>
93 lines
2.8 KiB
Plaintext
93 lines
2.8 KiB
Plaintext
bin/gfan
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bin/gfan_bases
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bin/gfan_buchberger
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bin/gfan_combinerays
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bin/gfan_doesidealcontain
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bin/gfan_fancommonrefinement
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bin/gfan_fanhomology
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bin/gfan_fanisbalanced
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bin/gfan_fanlink
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bin/gfan_fanproduct
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bin/gfan_fansubfan
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bin/gfan_genericlinearchange
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bin/gfan_groebnercone
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bin/gfan_groebnerfan
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bin/gfan_homogeneityspace
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bin/gfan_homogenize
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bin/gfan_initialforms
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bin/gfan_interactive
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bin/gfan_ismarkedgroebnerbasis
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bin/gfan_krulldimension
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bin/gfan_latticeideal
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bin/gfan_leadingterms
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bin/gfan_list
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bin/gfan_markpolynomialset
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bin/gfan_minkowskisum
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bin/gfan_minors
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bin/gfan_mixedvolume
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bin/gfan_overintegers
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bin/gfan_padic
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bin/gfan_polynomialsetunion
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bin/gfan_render
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bin/gfan_renderstaircase
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bin/gfan_resultantfan
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bin/gfan_saturation
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bin/gfan_secondaryfan
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bin/gfan_stats
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bin/gfan_substitute
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bin/gfan_symmetries
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bin/gfan_tolatex
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bin/gfan_topolyhedralfan
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bin/gfan_tropicalbasis
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bin/gfan_tropicalbruteforce
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bin/gfan_tropicalcurve
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bin/gfan_tropicalevaluation
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bin/gfan_tropicalfunction
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bin/gfan_tropicalhypersurface
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bin/gfan_tropicalintersection
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bin/gfan_tropicallifting
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bin/gfan_tropicallinearspace
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bin/gfan_tropicalmultiplicity
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bin/gfan_tropicalrank
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bin/gfan_tropicalstartingcone
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bin/gfan_tropicaltraverse
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bin/gfan_tropicalweildivisor
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bin/gfan_version
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%%PORTDOCS%%%%DOCSDIR%%/manual.dvi
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%%PORTDOCS%%%%DOCSDIR%%/gfan.eps
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%%PORTDOCS%%%%DOCSDIR%%/nonconst.eps
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%%PORTDOCS%%%%DOCSDIR%%/polyformat.eps
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%%PORTDOCS%%%%DOCSDIR%%/staircase.eps
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/2x2of2x3
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/2x2of2x4
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/2x2of3x3
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/2x2of4x4
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/3x3of3x4
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/3x3of3x5
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/3x3of3x5.cone
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/3x3of4x4
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/3x3of4x4sym.cone
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/4x4of4x5
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/4x4of5x5
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/6x6-subPfaffians
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/commat2x2
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/commat2x2.cone
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/cyclic4
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/cyclic5
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/examplePaper
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/grassmann2_5
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/grassmann2_5.cone
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/grassmann2_6
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/grassmann2_6.cone
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/grassmann3_6
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/grassmann3_6.cone
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/hankel3x3of4x4
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/hankel3x3of4x4.cone
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/hankel3x3of4x5
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/hankel3x3of4x5.cone
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/linhyper5_2
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/linhyper5_2.cone
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/pablo
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/sturmfels3.9
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%%PORTEXAMPLES%%%%EXAMPLESDIR%%/symmetryTest
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