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School of Environment and Society
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- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Mathematics
- Instructor(s)
- Ma Shohei
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Thr5-6(H137)
- Group
- -
- Course number
- MTH.A405
- Credits
- 1
- Academic year
- 2017
- Offered quarter
- 1Q
- Syllabus updated
- 2017/3/17
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
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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 schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | curves | TBA |
| Class 2 | sheaves | TBA |
| Class 3 | cohomology | TBA |
| Class 4 | Riemann-Roch | TBA |
| Class 5 | Duality | TBA |
| Class 6 | canonical model | TBA |
| Class 7 | Hodge decomposition | TBA |
| Class 8 | Jacobian | TBA |
Textbook(s)
None
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
report (100%)
Related courses
- MCS.T232 ： Complex Analysis
Prerequisites (i.e., required knowledge, skills, courses, etc.)
None
Other
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