Göm meny

MAI0128 Programme and Aims


The course is an introduction to algebraic geometry. In the course we will treat the basic concepts in algebraic geometr, with a final application to complex curves. The first lecture will study curves as first examples of algebraic varieties.


  • Projective and affine planes, (homogeneous) coordinates, curves and their genus.
  • Affine varieties, affine subvarieties, Zariski topology, ideals of affine subvarieties. Coordinate rings, isomorphisms, rational maps.
  • Projective varieties and subvarieties, products, regular maps, birational equivalence.
  • Ramification, elliptic curves.
  • coverings of curves,the Riemann-Roch Theorem.

Sidansvarig: milagros.izquierdo@liu.se
Senast uppdaterad: 2019-11-29