Code: 1-UDG-344/15
Assessment: Homework and final exam
Electronic materials:
- Affine algebraic sets
- Curve and line in the plane
- Singular points of a curve
- Tangents, tangent cone. Projective space
- Affine maps of the projective plane
- Calculations in the projective plane
- Bézout's theorem
- Inflection points, Hessian
- Linear systems of curves
- Resultants and systems of equations
Homework assignments:
- 19.2.
- 26.2.
- 5.3.
- 12.3. - I believe I had linked the wrong file here for almost the entire week. Therefore, it is sufficient to submit this set one week later (together with the fifth).
- 19.3.
- 26.3.
- 2.4.
- 30.4.
- 7.5.
Exam:
I hold exams on Tuesdays in June: 4.6, 11.6, 18.6 always at 9:00 am.
Please contact me if these dates are inconvenient and you would like an alternative appointment.
Literature:
W. Fulton: Algebraic Curves: An Introduction to Algebraic Geometry
Ch. G. Gibson: Elementary geometry of algebraic curves : An Undergraduate introduction
I. R. Shafarevich: Basic Algebraic Geometry 1
Ch. G. Gibson: Elementary geometry of algebraic curves : An Undergraduate introduction
I. R. Shafarevich: Basic Algebraic Geometry 1