Algebraic geometry I - Curves
Summary
Algebraic geometry is the common language for many branches of modern research in mathematics. This course gives an introduction to this field by studying algebraic curves and their intersection theory.
Content
- Affine algebraic varieties
- Plane curves
- Intersection numbers
- Projective varieties
- Bézout's theorem
- Elliptic curves
Learning Prerequisites
Required courses
- Algebra IV - Rings and modules
Recommended courses
Differential geometry II - Smooth manifolds
Learning Outcomes
By the end of the course, the student must be able to:
- Apply basic concepts of algebraic geometry to the case of curves.
Teaching methods
ex chatedra course with exercise session
Assessment methods
Oral Exam
In the programs
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Algebraic geometry I - Curves
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional