| Ch. 1 | Definitions and examples | |
| 1.1 | Introduction | 3 |
| 1.2 | Convex polyhedral cones | 8 |
| 1.3 | Affine toric varieties | 15 |
| 1.4 | Fans and toric varieties | 20 |
| 1.5 | Toric varieties from polytopes | 23 |
| Ch. 2 | Singularities and compactness | |
| 2.1 | Local properties of toric varieties | 28 |
| 2.2 | Surfaces; quotient singularities | 31 |
| 2.3 | One-parameter subgroups; limit points | 36 |
| 2.4 | Compactness and properness | 39 |
| 2.5 | Nonsingular surfaces | 42 |
| 2.6 | Resolution of singularities | 45 |
| Ch. 3 | Orbits, topology, and line bundles | |
| 3.1 | Orbits | 51 |
| 3.2 | Fundamental groups and Euler characteristics | 56 |
| 3.3 | Divisors | 60 |
| 3.4 | Line bundles | 63 |
| 3.5 | Cohomology of line bundles | 73 |
| Ch. 4 | Moment maps and the tangent bundle | |
| 4.1 | The manifold with singular corners | 78 |
| 4.2 | Moment map | 81 |
| 4.3 | Differentials and the tangent bundle | 85 |
| 4.4 | Serre duality | 87 |
| 4.5 | Betti numbers | 91 |
| Ch. 5 | Intersection theory | |
| 5.1 | Chow groups | 96 |
| 5.2 | Cohomology of nonsingular toric varieties | 101 |
| 5.3 | Riemann-Roch theorem | 108 |
| 5.4 | Mixed volumes | 114 |
| 5.5 | Bezout theorem | 121 |
| 5.6 | Stanley's theorem | 124 |
| Notes | 131 |
| References | 149 |
| Index of Notation | 151 |
| Index | 155 |
