Project/Area Number |
23H01071
|
Research Category |
Grant-in-Aid for Scientific Research (B)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Review Section |
Basic Section 11010:Algebra-related
|
Research Institution | Rikkyo University |
Principal Investigator |
ガイサ トーマス 立教大学, 理学部, 教授 (30571963)
|
Project Period (FY) |
2023-04-01 – 2028-03-31
|
Project Status |
Granted (Fiscal Year 2023)
|
Budget Amount *help |
¥16,900,000 (Direct Cost: ¥13,000,000、Indirect Cost: ¥3,900,000)
Fiscal Year 2023: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
|
Keywords | Brauer group / Neron-Severi group / 有限体上の局面 / Tate-Shafarevich group |
Outline of Research at the Start |
The first part of the proposal is to apply the a new version of the Artin-Tate formula to calculate Brauer groups and determinants of Neron-Severi groups of special classes of surface. The second part is to find a similar version of the Birch and Swinnerton-Dyer conjecture for abelian surfaces over global fields of characteristic p.
|