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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346#SIXFORMAT GapDocGAP
HELPBOOKINFOSIXTMP := rec(
encoding := "UTF-8",
bookname := "ToricVarieties",
entries :=
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[ "\033[2XIsProjective\033[102X", "3.2-3", [ 3, 2, 3 ], 31, 7, "isprojective", "X7EC041A77E7E46D2" ], [ "\033[2XIsComplete\033[102X", "3.2-4", [ 3, 2, 4 ], 38, 7, "iscomplete", "X7D689F21828A4278" ],
[ "\033[2XIsSmooth\033[102X", "3.2-5", [ 3, 2, 5 ], 45, 8, "issmooth", "X86CBF5497EC15CFC" ], [ "\033[2XHasTorusfactor\033[102X", "3.2-6", [ 3, 2, 6 ], 52, 8, "hastorusfactor", "X87B517958002AE71" ],
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[ "\033[2XAffineOpenCovering\033[102X", "3.3-1", [ 3, 3, 1 ], 77, 8, "affineopencovering", "X82AB95E9870A50A6" ], [ "\033[2XCoxRing\033[102X", "3.3-2", [ 3, 3, 2 ], 85, 8, "coxring", "X78F279E67EE26EBF" ],
[ "\033[2XListOfVariablesOfCoxRing\033[102X", "3.3-3", [ 3, 3, 3 ], 94, 8, "listofvariablesofcoxring", "X87C2F08C84052EB9" ], [ "\033[2XClassGroup\033[102X", "3.3-4", [ 3, 3, 4 ], 101, 9, "classgroup", "X872024617ADBE423" ],
[ "\033[2XPicardGroup\033[102X", "3.3-5", [ 3, 3, 5 ], 108, 9, "picardgroup", "X854A7BDA84D12EEC" ], [ "\033[2XTorusInvariantDivisorGroup\033[102X", "3.3-6", [ 3, 3, 6 ], 115, 9, "torusinvariantdivisorgroup", "X8025428782FE96E1" ],
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[ "\033[2XDimensionOfTorusfactor\033[102X", "3.3-9", [ 3, 3, 9 ], 140, 9, "dimensionoftorusfactor", "X7843850F8735A926" ], [ "\033[2XCoordinateRingOfTorus\033[102X", "3.3-10", [ 3, 3, 10 ], 147, 9, "coordinateringoftorus", "X8514A91A7CEA7092" ],
[ "\033[2XIsProductOf\033[102X", "3.3-11", [ 3, 3, 11 ], 156, 10, "isproductof", "X876EF14B845E275E" ], [ "\033[2XCharacterLattice\033[102X", "3.3-12", [ 3, 3, 12 ], 165, 10, "characterlattice", "X81E2EA227D69040A" ],
[ "\033[2XTorusInvariantPrimeDivisors\033[102X", "3.3-13", [ 3, 3, 13 ], 173, 10, "torusinvariantprimedivisors", "X84594CD787F6BA94" ], [ "\033[2XIrrelevantIdeal\033[102X", "3.3-14", [ 3, 3, 14 ], 181, 10, "irrelevantideal", "X78BB13787BA1C31C" ],
[ "\033[2XMorphismFromCoxVariety\033[102X", "3.3-15", [ 3, 3, 15 ], 188, 10, "morphismfromcoxvariety", "X78CFA34884706A16" ], [ "\033[2XCoxVariety\033[102X", "3.3-16", [ 3, 3, 16 ], 196, 10, "coxvariety", "X8761518B7F4F6C58" ],
[ "\033[2XFanOfVariety\033[102X", "3.3-17", [ 3, 3, 17 ], 203, 10, "fanofvariety", "X7F89CB52790F3E87" ], [ "\033[2XCartierTorusInvariantDivisorGroup\033[102X", "3.3-18", [ 3, 3, 18 ], 210, 10, "cartiertorusinvariantdivisorgroup", "X7BEC4BCD7B3B3522" ]
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[ "\033[2XConeOfVariety\033[102X", "5.3-4", [ 5, 3, 4 ], 51, 17, "coneofvariety", "X8642EA7886E09E44" ], [ "\033[2XCoordinateRing\033[102X (for affine Varieties)", "5.4-1", [ 5, 4, 1 ], 61, 17, "coordinatering for affine varieties",
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[ "\033[2XProjectiveEmbedding\033[102X", "6.3-3", [ 6, 3, 3 ], 39, 19, "projectiveembedding", "X7CD1FB1E83F80D5F" ], [ "\033[2XPolytope\033[102X", "6.4-1", [ 6, 4, 1 ], 50, 20, "polytope", "X855106007DE72898" ],
[ "\033[2XIsToricMorphism\033[102X", "7.1-1", [ 7, 1, 1 ], 7, 21, "istoricmorphism", "X85AC9E7B86C259AF" ], [ "\033[2XIsMorphism\033[102X", "7.2-1", [ 7, 2, 1 ], 19, 21, "ismorphism", "X7F66120A814DC16B" ],
[ "\033[2XIsProper\033[102X", "7.2-2", [ 7, 2, 2 ], 26, 21, "isproper", "X7B15A1848387B3C8" ], [ "\033[2XSourceObject\033[102X", "7.3-1", [ 7, 3, 1 ], 36, 21, "sourceobject", "X7912BF2F79064BB9" ],
[ "\033[2XUnderlyingGridMorphism\033[102X", "7.3-2", [ 7, 3, 2 ], 44, 22, "underlyinggridmorphism", "X81558ABE8360E43D" ], [ "\033[2XToricImageObject\033[102X", "7.3-3", [ 7, 3, 3 ], 51, 22, "toricimageobject", "X7F82AD6D7A967E25" ],
[ "\033[2XRangeObject\033[102X", "7.3-4", [ 7, 3, 4 ], 60, 22, "rangeobject", "X7ABADFCD80C507FB" ], [ "\033[2XMorphismOnWeilDivisorGroup\033[102X", "7.3-5", [ 7, 3, 5 ], 68, 22, "morphismonweildivisorgroup", "X81B87EE486EFA0A4" ],
[ "\033[2XClassGroup\033[102X (for toric morphisms)", "7.3-6", [ 7, 3, 6 ], 76, 22, "classgroup for toric morphisms", "X7F542C0880E1598D" ], [ "\033[2XMorphismOnCartierDivisorGroup\033[102X", "7.3-7", [ 7, 3, 7 ], 84, 22,
"morphismoncartierdivisorgroup", "X782D88777AA3E1F4" ], [ "\033[2XPicardGroup\033[102X (for toric morphisms)", "7.3-8", [ 7, 3, 8 ], 92, 22, "picardgroup for toric morphisms", "X804B025C873DF32C" ],
[ "\033[2XUnderlyingListList\033[102X", "7.4-1", [ 7, 4, 1 ], 103, 23, "underlyinglistlist", "X7FE514BB782DD216" ], [ "\033[2XToricMorphism\033[102X (for a source and a matrix)", "7.5-1", [ 7, 5, 1 ], 113, 23, "toricmorphism for a source and a matrix",
"X7B53B2C67B98043E" ], [ "\033[2XToricMorphism\033[102X (for a source, matrix and target)", "7.5-2", [ 7, 5, 2 ], 121, 23, "toricmorphism for a source matrix and target", "X7AC924D486FADC47" ],
[ "\033[2XIsToricDivisor\033[102X", "8.1-1", [ 8, 1, 1 ], 7, 25, "istoricdivisor", "X8664662078263B5A" ], [ "\033[2XIsCartier\033[102X", "8.2-1", [ 8, 2, 1 ], 17, 25, "iscartier", "X7E721696878A61F4" ],
[ "\033[2XIsPrincipal\033[102X", "8.2-2", [ 8, 2, 2 ], 25, 25, "isprincipal", "X84DE6ECE85F7D2F2" ], [ "\033[2XIsPrimedivisor\033[102X", "8.2-3", [ 8, 2, 3 ], 33, 25, "isprimedivisor", "X844EFF227C868438" ],
[ "\033[2XIsBasepointFree\033[102X", "8.2-4", [ 8, 2, 4 ], 41, 25, "isbasepointfree", "X7AB6B5C77DFB740B" ], [ "\033[2XIsAmple\033[102X", "8.2-5", [ 8, 2, 5 ], 48, 26, "isample", "X7F5062AA844AEC55" ],
[ "\033[2XIsVeryAmple\033[102X", "8.2-6", [ 8, 2, 6 ], 56, 26, "isveryample", "X80A58559802BB02E" ], [ "\033[2XCartierData\033[102X", "8.3-1", [ 8, 3, 1 ], 66, 26, "cartierdata", "X7F546017860701EA" ],
[ "\033[2XCharacterOfPrincipalDivisor\033[102X", "8.3-2", [ 8, 3, 2 ], 74, 26, "characterofprincipaldivisor", "X796415858436B32D" ], [ "\033[2XToricVarietyOfDivisor\033[102X", "8.3-3", [ 8, 3, 3 ], 81, 26, "toricvarietyofdivisor", "X80FA3ADA81640191" ]
, [ "\033[2XClassOfDivisor\033[102X", "8.3-4", [ 8, 3, 4 ], 90, 26, "classofdivisor", "X7C3691B4816CF3E9" ], [ "\033[2XPolytopeOfDivisor\033[102X", "8.3-5", [ 8, 3, 5 ], 97, 26, "polytopeofdivisor", "X85ED82DC79E2F1CE" ],
[ "\033[2XBasisOfGlobalSections\033[102X", "8.3-6", [ 8, 3, 6 ], 104, 27, "basisofglobalsections", "X7A7853288166B329" ], [ "\033[2XIntegerForWhichIsSureVeryAmple\033[102X", "8.3-7", [ 8, 3, 7 ], 112, 27, "integerforwhichissureveryample",
"X87DA4EEA824F4175" ], [ "\033[2XAmbientToricVariety\033[102X (for toric divisors)", "8.3-8", [ 8, 3, 8 ], 120, 27, "ambienttoricvariety for toric divisors", "X809666867CB2FC87" ], [ "\033[2XUnderlyingGroupElement\033[102X", "8.3-9", [ 8, 3, 9 ],
127, 27, "underlyinggroupelement", "X7D42C40B7B4B06E0" ], [ "\033[2XUnderlyingToricVariety\033[102X (for prime divisors)", "8.3-10", [ 8, 3, 10 ], 134, 27, "underlyingtoricvariety for prime divisors", "X81DF09097AEA7A0D" ],
[ "\033[2XDegreeOfDivisor\033[102X", "8.3-11", [ 8, 3, 11 ], 143, 27, "degreeofdivisor", "X7A346588871296FB" ], [ "\033[2XMonomsOfCoxRingOfDegree\033[102X", "8.3-12", [ 8, 3, 12 ], 150, 27, "monomsofcoxringofdegree", "X838F54D8817F6066" ],
[ "\033[2XCoxRingOfTargetOfDivisorMorphism\033[102X", "8.3-13", [ 8, 3, 13 ], 157, 28, "coxringoftargetofdivisormorphism", "X831C20A585952B08" ], [ "\033[2XRingMorphismOfDivisor\033[102X", "8.3-14", [ 8, 3, 14 ], 166, 28, "ringmorphismofdivisor",
"X786F05507F8026D5" ], [ "\033[2XVeryAmpleMultiple\033[102X", "8.4-1", [ 8, 4, 1 ], 178, 28, "veryamplemultiple", "X79410AC7794A3EE7" ], [ "\033[2XCharactersForClosedEmbedding\033[102X", "8.4-2", [ 8, 4, 2 ], 186, 28,
"charactersforclosedembedding", "X853616578245BF1A" ], [ "\033[2XMonomsOfCoxRingOfDegree\033[102X (for an homalg element)", "8.4-3", [ 8, 4, 3 ], 194, 28, "monomsofcoxringofdegree for an homalg element", "X7D890CF4845178FE" ],
[ "\033[2XDivisorOfGivenClass\033[102X", "8.4-4", [ 8, 4, 4 ], 202, 28, "divisorofgivenclass", "X7E66CB878743D6DF" ], [ "\033[2XAddDivisorToItsAmbientVariety\033[102X", "8.4-5", [ 8, 4, 5 ], 211, 28, "adddivisortoitsambientvariety",
"X7A19D0127ECE5EE1" ], [ "\033[2XPolytope\033[102X (for toric divisors)", "8.4-6", [ 8, 4, 6 ], 217, 29, "polytope for toric divisors", "X7BA1C5A27CC75C38" ], [ "\033[2X+\033[102X", "8.4-7", [ 8, 4, 7 ], 225, 29, "+", "X7F2703417F270341" ],
[ "\033[2X-\033[102X", "8.4-8", [ 8, 4, 8 ], 232, 29, "-", "X81B1391281B13912" ], [ "\033[2X*\033[102X (for toric divisors)", "8.4-9", [ 8, 4, 9 ], 239, 29, "* for toric divisors", "X7A14A08D79AABCC5" ],
[ "\033[2XDivisorOfCharacter\033[102X", "8.5-1", [ 8, 5, 1 ], 249, 29, "divisorofcharacter", "X7A1062647B359F8A" ], [ "\033[2XDivisorOfCharacter\033[102X (for a list of integers)", "8.5-2", [ 8, 5, 2 ], 257, 29,
"divisorofcharacter for a list of integers", "X7C2AF9FC7AEA18BE" ], [ "\033[2XCreateDivisor\033[102X (for a homalg element)", "8.5-3", [ 8, 5, 3 ], 265, 29, "createdivisor for a homalg element", "X7F24DB367B7BAAB4" ],
[ "\033[2XCreateDivisor\033[102X (for a list of integers)", "8.5-4", [ 8, 5, 4 ], 273, 30, "createdivisor for a list of integers", "X87477D82832DDE3A" ] ]
);