Existence of Unimodular Triangulations-Positive Results.

Cover
Title page
Chapter 1. Introduction
1.1. What?
1.2. Why? Who?
1.3. What is new?
1.4. What is not here
1.5. What is left?
Chapter 2. Methods
2.1. Pulling Triangulations
2.2. Push-forward subdivisions and pull-back subdivisions
2.3. Joins and (Fiber) Products
2.4. Toric Gröbner Bases
Chapter 3. Examples
3.1. Polytopes cut out by roots
3.2. Polytopes spanned by roots
3.3. Other Graph Polytopes
3.4. Lecture hall polytopes
3.5. Smooth Polytopes
3.6. The Gröbner fan and the toric Hilbert scheme
Chapter 4. Dilations and the KMW Theorem
4.1. KMW numbers in dimension three
4.2. Canonical triangulation of a dilated simplex
4.3. Reducing the volume of simplices in the dilation
4.4. A proof of the KMW Theorem
4.5. An effective version of the KMW-Theorem
Bibliography
Back Cover.