In this program
- Affine and projective varieties
- Regular maps and rational maps
- Birational equivalence
- Dimension and tangent spaces
- Smoothness
- Bezout's theorem
- Intersection multiplicity (introduction)
- Blow-ups and resolution of singularities (overview)
Varieties and morphisms
Blow-ups and resolution of singularities (overview)
Algebraic geometry · Theoretical / proof-based
Topic
Blow-ups and resolution of singularities (overview)
Graduate Algebraic Geometry — scope drawn from open algebraic geometry notes and typical US graduate algebraic geometry syllabi.