| Project/Area Number |
23740032
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Tokai University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2011 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
|
|---|
| Keywords | ヒルベルトスキーム / 変形理論 / 空間曲線 / 無限小変形 / 障害 / 障害類 / デルペッツォ多様体 |
|---|
| Research Abstract |
We study the first order infinitesimal deformations of degenerate curves on a uniruled algebraic variety of dimension at least 3 and their obstructions. As a result, we give two different geometric interpretations of infinitesimal deformations with poles (rational sections of the normal bundle of hypersurfaces). By using the liaison theory, we give a classification of the irreducible components of the Hilbert scheme for a certain class of space curves. We also study the deformations of space curves lying on a smooth quartic surface of Picard number 2, and construct a new example of families of curves with obstructed first order infinitesimal deformations.
|
