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- Academic unit or major
- Mathematics
- Instructor(s)
- Ma Shohei
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Thr5-6(H137)
- Group
- -
- Course number
- ZUA.A331
- Credits
- 1
- Academic year
- 2017
- Offered quarter
- 1Q
- Syllabus updated
- 2017/3/17
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
We study algebraic curves. The basic results are the Rieman Roch theorem, Hodge decomposition and the canonical model.
Student learning outcomes
Being familiar with Riemann-Roch
Keywords
curves, Riemann surfaces
Competencies that will be developed
| Specialist skills | Intercultural skills | ✔ Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
Standard lecture course
Course schedule/Required learning
| 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 |
Textbook(s)
None required
Reference books, course materials, etc.
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
Assessment criteria and methods
Depends on the report (100%). Details will be announced during the course.
Related courses
- ZUA.A332 ： Advanced courses in Algebra B
Prerequisites (i.e., required knowledge, skills, courses, etc.)
None required
Other
Do not hesitate to ask any question
