Hiroshima University Syllabus

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Japanese
Academic Year 2026Year School/Graduate School School of Science
Lecture Code HB510000 Subject Classification Specialized Education
Subject Name 代数学E
Subject Name
(Katakana)
ダイスウガクE
Subject Name in
English
Algebra E
Instructor SUKENAGA MASAYUKI
Instructor
(Katakana)
スケナガ マサユキ
Campus Higashi-Hiroshima Semester/Term 4th-Year,  Second Semester,  4Term
Days, Periods, and Classrooms (4T) Mon5-6,Thur3-4
Lesson Style Lecture Lesson Style
(More Details)
Face-to-face
 
Credits 2.0 Class Hours/Week 4 Language of Instruction B : Japanese/English
Course Level 4 : Undergraduate Advanced
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 01 : Mathematics/Statistics
Eligible Students
Keywords Algebraic geometry, Tropical geometry 
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students)
 
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students)
Mathematics
(Knowledge and Understanding)
・Acquiring knowledge and vision on advanced theories as an extension of core theory of modern mathematics.
(Abilities and Skills)
・To learn basic knowledge, skills, and attitudes related to information. Based on them, to be able to process, output and input information, as well as to utilize information appropriately. 
Class Objectives
/Class Outline
The lecture aims to provide an overview of algebraic geometry and tropical geometry. 
Class Schedule 1: Introduction
2〜3: Tropical algebra and tropical matrix
4〜5: Tropical hypersurface
6〜7: Algebraic variety and ideal
8〜9: Valuation and topicalization
10〜11: Abstract tropical curve
12〜14: Discrete time system
15: Summary 
Text/Reference
Books,etc.
【The reference books】
Diane Maclagan and Berud Sturmfels, “Introduction to Tropical Geometry,” Graduate Studies in Mathematics 161, American Mathematical Society, Providence, RI, 2015. 
PC or AV used in
Class,etc.
(More Details)  
Learning techniques to be incorporated
Suggestions on
Preparation and
Review
Think about the exercises given in the sessions. 
Requirements  
Grading Method Based on reports.

 
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
Message  
Other   
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. 
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