Code: 1-UDG-344/15

Assessment: Homework and final exam

Electronic materials:

  1. Affine algebraic sets
  2. Curve and line in the plane
  3. Singular points of a curve
  4. Tangents, tangent cone. Projective space
  5. Affine maps of the projective plane
  6. Calculations in the projective plane
  7. Bézout's theorem
  8. Inflection points, Hessian
  9. Linear systems of curves
  10. Resultants and systems of equations

Homework assignments:

  1. 19.2.
  2. 26.2.
  3. 5.3.
  4. 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).
  5. 19.3.
  6. 26.3.
  7. 2.4.
  8. 30.4.
  9. 7.5.

Scoring

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