The Homological Conjectures

Chapters in this book

1. Frontmatter i
2. Preface v
3. Table of Contents vii
4. Boij–Söderberg Theory: Introduction and Survey 1
5. Hilbert Functions of Fat Point Subschemes of the Plane: the Two-fold Way 55
6. Edge Ideals: Algebraic and Combinatorial Properties 85
7. Three Simplicial Resolutions 127
8. A Minimal Poset Resolution of Stable Ideals 143
9. Subsets of Complete Intersections and the EGH Conjecture 167
10. The Homological Conjectures 199
11. The Compatibility, Independence, and Linear Growth Properties 231
12. Recent Progress in Coherent Rings: a Homological Perspective 271
13. Non-commutative Crepant Resolutions: Scenes From Categorical Geometry 293