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School of Environment and Society
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- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Mathematics
- Instructor(s)
- Honda Nobuhiro
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- Day/Period(Room No.)
- Tue3-4(M-143B(H119B))
- Group
- -
- Course number
- MTH.B502
- Credits
- 1
- Academic year
- 2024
- Offered quarter
- 2Q
- Syllabus updated
- 2024/3/14
- Lecture notes updated
- -
- Language used
- English
- Access Index
-
Course description and aims
Introduction to the theory of rational surfaces. This course is continued from Advanced topics in Geometry E.
Student learning outcomes
To fully understand the content covered in the lectures.
Keywords
rational surface, relatively minimal model, quadric surface, cubic surface
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
A standard lecture course. Homeworks will be assined for each lesson.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | rational surfaces, examples | Details will be provided during each class session. |
| Class 2 | fibration structure over curve | Details will be provided during each class session. |
| Class 3 | minimal model and relatively minimal model | Details will be provided during each class session. |
| Class 4 | structure of P^1-bundle, ruled surface | Details will be provided during each class session. |
| Class 5 | quadric surfaces | Details will be provided during each class session. |
| Class 6 | cubic surfaces | Details will be provided during each class session. |
| Class 7 | 6 points blowup of P^2, 27 bitangents | Details will be provided during each class session. |
Out-of-Class Study Time (Preparation and Review)
Official Message: To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
None
Reference books, course materials, etc.
P. Griffiths, J. Harris, "Principles of Algebraic Geometry"（Wiley-Interscience）
Assessment criteria and methods
Graded by homeworks.
Related courses
- MTH.B301 ： Geometry I
- MTH.B302 ： Geometry II
- MTH.B331 ： Geometry III
- MTH.B501 ： Advanced topics in Geometry E
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Students are expected to be familiar with the topics treated in Advanced Topics in Geometry E.
