Math 6175 (Spring 2024):
Algebraic Geometry II

[course policies] [homework] [feedback]

Homework

  1. 14 April
    • Reading: Hartshorne, §III.6.
    • Uncollected exercises: Ex. III.6.3, Ex. III.6.4, Ex. III.6.5, III.6.7, Ex. III.6.9 (don't confuse K1 with higher K-theory).
    • Presentations: Ex. III.6.1, Ex. III.6.8, Ex. III.6.10.
    • 7 April
      • Reading: Hartshorne, §III.5.
      • Uncollected exercises: Ex. III.5.1, Ex. III.5.3, Ex. III.5.5, Ex. III.5.7abc, Ex. III.5.10.
      • Presentations: Ex. III.5.2, Ex. III.5.4, Ex. III.5.6 (this will be easier after §III.8), Ex. III.5.7d, Ex. III.5.8, Ex. III.5.9.
      • 2 April
        • Reading: Hartshorne, §III.4.
        • Uncollected exercises: Ex. III.4.1, Ex. III.4.3, Ex. III.4.4, Ex. III.4.7.
        • Presentations: Ex. III.4.2, Ex. III.4.5, Ex. III.4.6, Ex. III.4.10, Ex. III.4.11.
      • 24 March
        • Reading: Hartshorne, §§III.1–3.
        • Uncollected exercises: Ex. III.2.3, Ex. III.2.5, Ex. III.3.2, Ex. III.3.3
        • Presentations: Ex. III.2.1, Ex. III.2.2, Ex. III.2.6, Ex. III.2.7, Ex. III.3.1, Ex. III.3.4 and III.3.5, Ex. III.3.7
        • 24 March
          • Reading: Hartshorne, §II.8.
          • Uncollected exercises: Ex. II.8.2, Ex. II.8.3, Ex. II.8.4, Ex. II.8.8
          • Presentations: Ex. II.8.1, Ex. II.8.5, Ex. II.8.6
        • 11 March
          • Reading: Hartshorne, §II.7.
          • Uncollected exercises: Ex. II.7.1, Ex. II.7.2, Ex. II.7.4a, Ex. II.7.5, Ex. II.7.8, Ex. II.7.11
          • Presentations: Prop. II.7.3, Ex. II.7.3, Ex. II.7.7, Ex. II.7.9, Ex. II.7.10, Ex. II.7.12, Ex. II.7.13, II.7.14
        • 26 February
          • Reading: Hartshorne, §II.6.
          • Uncollected exercises: Ex. II.6.1, Ex. II.6.2abd, Ex. II.6.8, Ex. II.6.12
          • Presentations: Ex. II.6.3, (II.6.5.2, II.6.6.1, and Ex. II.6.5), Ex. II.6.6, Ex. II.6.7, Ex. II.6.9, Ex. II.6.11
        • 12 February
          • Reading: Hartshorne, §II.5.
          • Uncollected exercises: Ex. II.5.1–5, Ex. II.5.10–13, Ex. II.5.16, Ex. II.5.18
          • Presentations: Ex. II.5.6, Ex. II.5.7, Ex. II.5.8, Ex. II.5.9, Ex. II.5.15, Ex. II.5.17 (Bob)
        • 5 February
          • Reading: Hartshorne, §II.4.
          • Uncollected exercises: Ex. II.4.1—5, Ex. II.4.8
          • Presentations: Ex. II.4.5d and II.4.6, Ex. II.4.7, Ex. II.4.9, Ex. II.4.10, Ex. II.4.11
        • 24 January
          • Reading: Hartshorne, §II.3.
          • Uncollected exercises: II.3.1–4, 6, 12–14
          • Presentations: Thm. II.3.3; Ex. II.3.5; 8; 10; 11; 16; 17; 18; 19; 20 and 21; 23
        • 19 January
          • Reading: Hartshorne, §II.2.
          • Uncollected exercises: II.2.1–3, 6, 7, 9, 13, 14
          • Presentations: Prop. II.2.2 and Prop. II.2.3; Prop. II.2.5; Ex. II.2.4; 5; 8; 10 and 11; 18, 19
        • 17 January
          • Reading: Hartshorne, §II.1
          • Uncollected exercises: II.1.2–9, 14, 15.
          • Presentations: Prop. I.1; Prop. I.2; II.1.10–11; 16, 18, 19, 20, 22.