CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutSign UpSign In

Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.

| Download

GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

Views: 418346
Tweet
Share
Share
1
<?xml version="1.0" encoding="UTF-8"?>

2


3
<!-- 

4


5
  Varieties.xml            ToricVarieties

6


7
         Copyright (C) 2011-2012, Sebastian Gutsche, RWTH Aachen University

8


9
-->

10


11
<Chapter Label="Varieties">

12
<Heading>Toric varieties</Heading>

13


14
<Section Label="ToricVariety:Category">

15
<Heading>Toric variety: Category and Representations</Heading>

16


17
<#Include Label="IsToricVariety">

18


19
</Section>

20


21
<Section Label="ToricVarieties:Properties">

22
<Heading>Toric varieties: Properties</Heading>

23


24
<#Include Label="IsNormalVariety">

25
<#Include Label="IsAffine">

26
<#Include Label="IsProjective">

27
<#Include Label="IsComplete">

28
<#Include Label="IsSmooth">

29
<#Include Label="HasTorusfactor">

30
<#Include Label="HasNoTorusfactor">

31
<#Include Label="IsOrbifold">

32


33
</Section>

34


35
<Section Label="ToricVarieties:Attributes">

36
<Heading>Toric varieties: Attributes</Heading>

37


38
<#Include Label="AffineOpenCovering">

39
<#Include Label="CoxRing">

40
<#Include Label="ListOfVariablesOfCoxRing">

41
<#Include Label="ClassGroup">

42
<#Include Label="PicardGroup">

43
<#Include Label="TorusInvariantDivisorGroup">

44
<#Include Label="MapFromCharacterToPrincipalDivisor">

45
<#Include Label="Dimension">

46
<#Include Label="DimensionOfTorusfactor">

47
<#Include Label="CoordinateRingOfTorus">

48
<#Include Label="IsProductOf">

49
<#Include Label="CharacterGrid">

50
<#Include Label="TorusInvariantPrimeDivisors">

51
<#Include Label="IrrelevantIdeal">

52
<#Include Label="MorphismFromCoxVariety">

53
<#Include Label="CoxVariety">

54
<#Include Label="FanOfVariety">

55
<#Include Label="CartierTorusInvariantDivisorGroup">

56
<#Include Label="NameOfVariety">

57
<#Include Label="twitter">

58


59


60
</Section>

61


62
<Section Label="ToricVarieties:Methods">

63
<Heading>Toric varieties: Methods</Heading>

64


65
<#Include Label="UnderlyingSheaf">

66
<#Include Label="CoordinateRingOfTorus2">

67
<#Include Label="PROD">

68
<#Include Label="CharacterToRationalFunction">

69
<#Include Label="CoxRing2">

70
<#Include Label="WeilDivisorsOfVariety">

71
<#Include Label="FanMethod">

72


73
</Section>

74


75
<Section Label="ToricVarieties:Constructors">

76
<Heading>Toric varieties: Constructors</Heading>

77


78
<#Include Label="ToricVarietyConst">

79


80
</Section>

81


82
<Section Label="ToricVarieties:Examples">

83
<Heading>Toric varieties: Examples</Heading>

84
<#Include Label="Hirzebruch5Example">

85


86
</Section>

87


88
<!-- ############################################################ -->

89


90
</Chapter>

91