Theta Functions on Varieties with Effective Anti-Canonical Class.

Cover
Title page
Introduction
Chapter 1. The affine geometry of the construction
1.1. Polyhedral affine pseudomanifolds
1.2. Convex, piecewise affine functions
Chapter 2. Wall structures
2.1. Construction of ₀
2.2. Monomials, rings and gluing morphisms
2.3. Walls and consistency
2.4. Construction of \foX^{∘}
Chapter 3. Broken lines and canonical global functions
3.1. Broken lines
3.2. Consistency and rings in codimension two
3.3. The canonical global functions _{ }
3.4. The conical case
3.5. The multiplicative structure
Chapter 4. The projective case -theta functions
4.1. Conical affine structures
4.2. The cone over a polyhedral pseudomanifold
4.3. Theta functions and the Main Theorem
4.4. The action of the relative torus
4.5. Jagged paths
Chapter 5. Additional parameters
5.1. Twisting the construction
5.2. Twisting by gluing data
Chapter 6. Abelian varieties and other examples
Appendix A. The GS case
A.1. One-parameter families
A.2. The universal formulation
A.3. Equivariance
A.4. The non-simple case in two dimensions
Bibliography
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