Algebraic Geometry
(Math 627)
Spring 2013
Instructor:
Paul Aspinwall
Credits: 1.00, Hours: 03.0
Time: TuTh 10:05-11:20AM.
Location: Physics 227
Requirements
Exams
Prerequisits
Math 602 (Commutative Algebra), or consent from me.
Homework
is listed here.
Synopsis
A rough outline is as follows
- Varieties
- Affine Varieties
- Projective Varieties
- Morphisms
- Blowing Up
- Schemes
- Sheaves
- Spec and Proj
- Morphisms
- Sheaves of Modules
- Examples using Toric Varieties
- Sheaf Cohomology
- Derived Functors
- Cech Cohomology
Textbooks
The course will be based on:
- R. Hartshorne, Algebraic Geometry, Springer-Verlag 1977,
0-387-90244-9
It may also be useful to refer to
- M. Atiyah, MacDonald, Introduction to Commutative Algebra,
Addison-Wesley 1969.
- D. Cox, J. Little, H. Schenck, Toric Varieties,
Graduate Studies in Mathematics 124, AMS 2011.
- D. Eisenbud, Commutative Algebra with a View Toward Algebraic
Geometry, Springer 2004.
- H. Matsumua, Commutative Algebra, Benjamin/Cummings 1980.
Last modified:
|
C.G.T.P.