Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1

Chapter 1 Introduction

Chapter 3 Points in ℙ 1 × ℙ 1 $$\mathbb{P}^{1} \times \mathbb{P}^{1}$$

Chapter 4 Classification of ACM sets of points in ℙ 1 × ℙ 1 $$\mathbb{P}^{1} \times \mathbb{P}^{1}$$

Chapter 5 Homological invariants

Chapter 6 Fat points in ℙ 1 × ℙ 1 $$\mathbb{P}^{1} \times \mathbb{P}^{1}$$

Chapter 7 Double points and their resolution

Chapter 8 Applications