[00CO]
[00CO]
Example 1. Morphism of schemes [00CJ]
Example 1. Morphism of schemes [00CJ]
Let ,
The map between topological spaces is the constant map (to the zero ideal). It is trivially continous. The structure sheaf of at is and at empty sets its .
For the morphism of sheaves , give on by restricted to or if is empty.
TODO show its local
Example 3. integral but not finite [00BY]
Example 3. integral but not finite [00BY]
Example 4. Finite [00CP]
Example 4. Finite [00CP]
- polynomial map of affine line
- noether normalization
Example 5. Locally finite type but not finite type [00C2]
Example 5. Locally finite type but not finite type [00C2]
every open embedding (finite type only if qc)
Example 6. finite type [00C1]
Example 6. finite type [00C1]
- (from earlier)
- open embeddings that are qc