Project/Area Number |
23KF0187
|
Research Category |
Grant-in-Aid for JSPS Fellows
|
Allocation Type | Multi-year Fund |
Section | 外国 |
Review Section |
Basic Section 11010:Algebra-related
|
Research Institution | University of Tsukuba |
Principal Investigator |
山木 壱彦 筑波大学, 数理物質系, 教授 (80402973)
|
Co-Investigator(Kenkyū-buntansha) |
HELMINCK PAUL 筑波大学, 数理物質系, 外国人特別研究員
|
Project Period (FY) |
2023-11-15 – 2026-03-31
|
Project Status |
Granted (Fiscal Year 2023)
|
Budget Amount *help |
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2025: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 2024: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2023: ¥800,000 (Direct Cost: ¥800,000)
|
Outline of Research at the Start |
The tropicalization of a variety is a polyhedral shadow that contains a large amount of arithmetic information on the algebraic variety. This is especially true when the tropicalization is smooth, in the sense that there are no singularities. In practice however, many tropicalizations are not sufficiently smooth. In this project, we will investigate the possibility of transforming a tropical variety into a smooth one, with an eye towards applications in number theory.
|