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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.A332
- Credits
- 1
- Academic year
- 2017
- Offered quarter
- 2Q
- Syllabus updated
- 2017/3/17
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
We study global structure of moduli spaces.
Student learning outcomes
General-typeness of moduli spaces
Keywords
moduli spaces
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 | Abel-Jacobi map | Details will be provided during each class session |
| Class 2 | Clifford theorem | Details will be provided during each class session |
| Class 3 | Torelli theorem | Details will be provided during each class session |
| Class 4 | Siegel modular variety | Details will be provided during each class session |
| Class 5 | toroidal compactification | Details will be provided during each class session |
| Class 6 | Tai-Freitag-Mumford theorem | Details will be provided during each class session |
| Class 7 | moduli of stable curves | Details will be provided during each class session |
| Class 8 | Harris-Mumford theorem | 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.A331 ： Advanced courses in Algebra A
Prerequisites (i.e., required knowledge, skills, courses, etc.)
None required
Other
Do not hesitate to ask any question
