103 Introducing Algebraic Stacks

• Section 103.1: Why read this?
• Section 103.2: Preliminary
• Section 103.3: The moduli stack of elliptic curves
• Section 103.4: Fibre products
  • Lemma 103.4.1: Key fact
  • Remark 103.4.2
  • Definition 103.4.3
• Section 103.5: The definition
  • Definition 103.5.1
• Section 103.6: A smooth cover
  • Lemma 103.6.1
  • Remark 103.6.2
• Section 103.7: Properties of algebraic stacks