Problems on algebraic geometry in positive characteristic
| Project/Area Number |
21740027
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| 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)
|
|---|
| Project Period (FY) |
2009 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
|---|
| Keywords | 正標数 / 代数多様体 / 特異点 / 変形理論 / 有理二重点 / 変形空間 / 準楕円曲面 / Calabi-Yau多様体 |
|---|
| Research Abstract |
We study various phenomena peculiar to positive characteristic on algebraic geometry. Especially, we investigated local structure of a three dimensional variety X defined over an algebraically closed field k of characteristic p>0 with at most canonical singularities. Under the assumption that the p>2 and a general hyperplane cut of X has at most rational singularities, we showed that local structure of X in codimension two is well understood in the level of local equations. Consequently, we found that any singularity of such a variety X in codimension two is analytically a product of a rational double point and a nonsingular curve with two exceptions in p=3.
|
Report
(4 results)
Research Products
(9 results)
