In this program
- Varieties and morphisms
- Schemes and sheaves
- Cohomology and curves
Varieties and morphisms
Algebraic geometry · Theoretical / proof-based
Affine and projective varieties; Nullstellensatz
Objectives
- Affine and projective varieties; Nullstellensatz
- 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)
Study materials
- Study guideComing soon
- Exam StrategyComing soon
- Common MistakesComing soon
- WorksheetsComing soon
- Word problemsComing soon
- Mixed PracticeComing soon
- Multi-Unit ProblemsComing soon
- ReviewComing soon
- Practice testComing soon
- Answer keyComing soon
Interactive practice
Quizzes, typed answers, and flashcards for this unit — coming soon.
- Coming soon
Quiz
Multiple-choice questions with instant feedback
- Coming soon
Typed practice
Type answers and check them
- Coming soon
Flashcards
Vocabulary and key facts
- Coming soon
Mixed quiz
Harder mixed review for this standard