These are some rough notes for the Topics in Algebraic Geometry reading group at the University of Leeds.
- Sections
- Affine Schemes
- Comment about Spec A where A is the ring of continuous real functions on a space
- Consider Spec ℤ and Spec ℤ[x]
- Non-examples of affine schemes
- A^2/{0}
- A \sqcup A/(A \ {0}) (line with two origins)
- Proj
- Write down what a homogeneous ideal is
- Write down what it means to be generated by homogeneous ideals
- Explicitly write down how to cover Proj by affine spaces
- Spec ℤ[x]
- Affine Schemes
- Comments
- Dimension of schemes
- Krull
- Tangent spaces
- Functor of points
- Dimension of schemes