102 Introducing Algebraic Stacks

• Section 102.1: Why read this?
• Section 102.2: Preliminary
• Section 102.3: The moduli stack of elliptic curves
• Section 102.4: Fibre products
  • Lemma 102.4.1: Key fact
  • Remark 102.4.2
  • Definition 102.4.3
• Section 102.5: The definition
  • Definition 102.5.1
• Section 102.6: A smooth cover
  • Lemma 102.6.1
  • Remark 102.6.2
• Section 102.7: Properties of algebraic stacks