Real K3 surfaces with non-symplectic holomorphic involutions and their degenerations
| Project/Area Number |
25610001
|
|---|
| Research Category |
Grant-in-Aid for Challenging Exploratory Research
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Hokkaido University of Education |
|---|
Principal Investigator |
Saito Sachiko 北海道教育大学, 教育学部, 准教授 (40260400)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
Taki Shingo 東海大学, 理学部, 講師 (30609714)
Ohashi Hisanori 東京理科大学, 理工学部, 講師 (40547006)
Ma Shohei 東京工業大学, 理学院, 准教授 (80633255)
|
|---|
| Project Period (FY) |
2013-04-01 – 2016-03-31
|
| Project Status |
Completed (Fiscal Year 2015)
|
| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
|
|---|
| Keywords | K3曲面 / エンリケス曲面 / 反シンプレクティック正則対合 / 格子 / 周期領域 / モジュライ / (-2)ベクトル / 退化 / 非ハウスドルフ / モジュライ空間 / Hirzebruch曲面 / anti-bicanonical曲線 / isotopy型 / marking / 反シンプレクティック対合 |
|---|
| Outline of Final Research Achievements |
I submitted my paper: "On real anti-bicanonical curves with one double point on the 4-th real Hirzebruch surface" to Journal of Singularities in 2013. The referee gave me valuable comments and important indications, that is, needlessness of one degeneration which I introduced, and requirements for the marking adapted to the orthogonal decomposition U+<-2>. I revised the paper and submitted it again. It was accepted in May 2014 and published in January 2015. I held Workshops on K3 surfaces and Enriques surfaces every summer during 2013--2015. Participants, including young talented mathematicians working for K3 surfaces and Enriques surfaces, discussed each other.
|
Report
(4 results)
Research Products
(5 results)
