Math 130b: Algebraic Geometry, Winter 2012: Difference between revisions
| Line 25: | Line 25: | ||
| [http://stacky.net/posted/130b/HW2.pdf HW2] | | [http://stacky.net/posted/130b/HW2.pdf HW2] | ||
| Read Chapter 3 of Vakil (Dec. 20, 2011 version), do problems 3.2.F, 3.3.C, 3.3.I, 3.4.B, 3.5.G, and do the property P argument. | | Read Chapter 3 of Vakil (Dec. 20, 2011 version), do problems 3.2.F, 3.3.C, 3.3.I, 3.4.B, 3.5.G, and do the property P argument. | ||
|- | |||
| Jan. 20 | |||
| [http://www.math.caltech.edu/%7E2011-12/2term/ma130b/HW3.pdf HW3] | |||
| Read sections 4.1-4.3 of Vakil (Dec. 20, 2011 version) and do problems (possible hints in parentheses) 3.6.E, 3.7.C (consider stalks of sheaf Hom, c.f. 3.3.C), 3.7.D (use Zorn's Lemma), 4.2.C, 4.2.K, 4.2.L. Also do the tensor products exercise. | |||
|} | |} | ||
Revision as of 08:44, 13 January 2012
This class meets MWF 1-2pm in 159 Sloan.
Office hours: Wednesdays 2-4pm in 374 Sloan (possibly moving to the common room if my office gets crowded or if we want tea)
Course Description: The course will follow Vakil's Foundations Of Algebraic Geometry notes (available at http://math.stanford.edu/~vakil/216blog/). We will begin by studying some category theory and sheaves. Then we will develop the basic properties and theory of schemes, morphisms of schemes, and quasi-coherent sheaves on schemes.
Grading: Grades will be based on weekly homework. We may have a final exam.
Exercises
There will be a problem set due in class on Friday every week. This will be a fast paced course in which it is important to stay on top of the most recent material, so no late homework will be accepted.
You are strongly encouraged to submit solutions in groups of 2, though solutions by individuals and groups of 3 will also be accepted. You're welcome to talk about the problems with people outside of your group. You are not required to work with the same person every week.
| Due date | Homework | Description |
| Jan. 6 | HW1 | |
| Jan. 13 | HW2 | Read Chapter 3 of Vakil (Dec. 20, 2011 version), do problems 3.2.F, 3.3.C, 3.3.I, 3.4.B, 3.5.G, and do the property P argument. |
| Jan. 20 | HW3 | Read sections 4.1-4.3 of Vakil (Dec. 20, 2011 version) and do problems (possible hints in parentheses) 3.6.E, 3.7.C (consider stalks of sheaf Hom, c.f. 3.3.C), 3.7.D (use Zorn's Lemma), 4.2.C, 4.2.K, 4.2.L. Also do the tensor products exercise. |
Resources
- Vakil, Foundations Of Algebraic Geometry
- Grothendieck and Dieudonné, EGA I, II, III(1), III(2), IV(1), IV(2), IV(3), IV(4)
A detailed table of contents for EGA is available here. Getting to know your way around EGA is a good use of time for an algebraic geometer.
- Hartshorne, Algebraic Geometry