<?xml version="1.0" encoding="UTF-8"?>

<!-- 

  Varieties.xml            ToricVarieties

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

-->

<Chapter Label="Varieties">
<Heading>Toric varieties</Heading>

<Section Label="ToricVariety:Category">
<Heading>Toric variety: Category and Representations</Heading>

<#Include Label="IsToricVariety">

</Section>

<Section Label="ToricVarieties:Properties">
<Heading>Toric varieties: Properties</Heading>

<#Include Label="IsNormalVariety">
<#Include Label="IsAffine">
<#Include Label="IsProjective">
<#Include Label="IsComplete">
<#Include Label="IsSmooth">
<#Include Label="HasTorusfactor">
<#Include Label="HasNoTorusfactor">
<#Include Label="IsOrbifold">

</Section>

<Section Label="ToricVarieties:Attributes">
<Heading>Toric varieties: Attributes</Heading>

<#Include Label="AffineOpenCovering">
<#Include Label="CoxRing">
<#Include Label="ListOfVariablesOfCoxRing">
<#Include Label="ClassGroup">
<#Include Label="PicardGroup">
<#Include Label="TorusInvariantDivisorGroup">
<#Include Label="MapFromCharacterToPrincipalDivisor">
<#Include Label="Dimension">
<#Include Label="DimensionOfTorusfactor">
<#Include Label="CoordinateRingOfTorus">
<#Include Label="IsProductOf">
<#Include Label="CharacterGrid">
<#Include Label="TorusInvariantPrimeDivisors">
<#Include Label="IrrelevantIdeal">
<#Include Label="MorphismFromCoxVariety">
<#Include Label="CoxVariety">
<#Include Label="FanOfVariety">
<#Include Label="CartierTorusInvariantDivisorGroup">
<#Include Label="NameOfVariety">
<#Include Label="twitter">


</Section>

<Section Label="ToricVarieties:Methods">
<Heading>Toric varieties: Methods</Heading>

<#Include Label="UnderlyingSheaf">
<#Include Label="CoordinateRingOfTorus2">
<#Include Label="PROD">
<#Include Label="CharacterToRationalFunction">
<#Include Label="CoxRing2">
<#Include Label="WeilDivisorsOfVariety">
<#Include Label="FanMethod">

</Section>

<Section Label="ToricVarieties:Constructors">
<Heading>Toric varieties: Constructors</Heading>

<#Include Label="ToricVarietyConst">

</Section>

<Section Label="ToricVarieties:Examples">
<Heading>Toric varieties: Examples</Heading>
<#Include Label="Hirzebruch5Example">

</Section>

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

</Chapter>