Research on algebraic varieties defined over an algebracally closed field in positive characteristic
| Project/Area Number |
24540046
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Hiroshima City University |
|---|
Principal Investigator |
Saito Natsuo 広島市立大学, 情報科学研究科, 講師 (70382372)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
ITO Hiroyuki 東京理科大学, 理工学部, 教授 (60232469)
|
|---|
| Project Period (FY) |
2012-04-01 – 2016-03-31
|
| Project Status |
Completed (Fiscal Year 2015)
|
| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| Keywords | 正標数 / 代数多様体 / del Pezzo曲面 / F分裂性 / 特異点 / 変形理論 |
|---|
| Outline of Final Research Achievements |
We study the F-splitting of smooth del Pezzo surfaces defined over an algebraically closed field in positive characteristic. We investigate del Pezzo surfaces of degree 2, and gives characterizations of non-F-split del Pezzo surfaces, which exist only in characteristic 2 or 3. In particular, we show that non-F-split del Pezzo surfaces of degree 2 are uniquely determined if the characteristic is 3. Moreover, we determine completely the configuration of 7 points on the projective plane, which are the center of the blow-ups to obtain the non-F-split del Pezzo surface of degree 2 in characteristic 3.
|
Report
(5 results)
Research Products
(8 results)
