We study algebraic curves. The basic results are the Rieman Roch theorem, Hodge decomposition and the canonical model.
Being familiar with Riemann-Roch
curves, Riemann surfaces
Specialist skills | Intercultural skills | ✔ Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Standard lecture course
Course schedule | Required learning | |
---|---|---|
Class 1 | curves | Details will be provided during each class session |
Class 2 | sheaves | Details will be provided during each class session |
Class 3 | cohomology | Details will be provided during each class session |
Class 4 | Riemann-Roch | |
Class 5 | Duality | Details will be provided during each class session |
Class 6 | canonical model | Details will be provided during each class session |
Class 7 | Hodge decomposition | Details will be provided during each class session |
Class 8 | Jacobian | Details will be provided during each class session |
None required
E.Arbarello, M.Cornalba, P.Griffiths, J.,Harris, `Geometry of Algebraic Curves I' Springer.
R.Narashimhan, `Compact Riemann surfaces'
J.Harris, I.Morrison, `Moduli of Curves' Springer
Depends on the report (100%). Details will be announced during the course.
None required
Do not hesitate to ask any question