105 Introducing Algebraic Stacks

• Section 105.1: Why read this?
• Section 105.2: Preliminary
• Section 105.3: The moduli stack of elliptic curves
• Section 105.4: Fibre products
  • Lemma 105.4.1: Key fact
  • Remark 105.4.2
  • Definition 105.4.3
• Section 105.5: The definition
  • Definition 105.5.1
• Section 105.6: A smooth cover
  • Lemma 105.6.1
  • Remark 105.6.2
• Section 105.7: Properties of algebraic stacks