MAT1190HS: Algebraic Geometry
University of Toronto · Archived course
Instructor
Name: Daniel Litt
Email: daniel.litt@utoronto.ca
Office Hours: 1pm Wednesdays, Huron 1018
Textbook
This course will cover Chapter III of Hartshorne’s Algebraic Geometry.
- Robin Hartshorne, Algebraic Geometry (Chapter III: Cohomology)
Mark Breakdown
| Component | Percentage |
|---|---|
| Assignments (graded on completion) | 40% |
| Term Test | 25% |
| Final Assessment | 35% |
Assignments
Assignments will be exercises from Hartshorne (and external sources), graded on completeness, not correctness.
Term Test
There will be one term test on February 24, the entire class period.
Final Assessment
The final assessment will be held during the last week of class.
Schedule of Lectures
| Week | Dates | Topics |
|---|---|---|
| Week 1 | Jan 6 - Jan 10 | Hartshorne III.1: Derived Functors |
| Week 2 | Jan 13 - Jan 17 | Hartshorne III.2: Cohomology of Sheaves |
| Week 3 | Jan 20 - Jan 24 | Hartshorne III.3: Cohomology of a Noetherian Affine Scheme |
| Week 4 | Jan 27 - Jan 31 | Hartshorne III.4: Čech Cohomology |
| Week 5 | Feb 3 - Feb 7 | Hartshorne III.5: The Cohomology of Projective Space |
| Week 6 | Feb 10 - Feb 14 | Hartshorne III.6: Ext Groups and Sheaves |
| Week 7 | Feb 17 - Feb 21 | Reading week (no classes) |
| Week 8 | Feb 24 - Feb 28 | Hartshorne III.7: The Serre Duality Theorem. Term test. |
| Week 9 | Mar 3 - Mar 7 | Hartshorne III.8: Higher Direct Images of Sheaves |
| Week 10 | Mar 10 - Mar 14 | Hartshorne III.9: Flat Morphisms |
| Week 11 | Mar 17 - Mar 21 | Hartshorne III.10: Smooth Morphisms |
| Week 12 | Mar 24 - Mar 28 | Hartshorne III.11: The Theorem on Formal Functions |
| Week 13 | Mar 31 - Apr 4 | Hartshorne III.12: The Semicontinuity Theorem. Final |
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