| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
|---|
| Research Abstract |
Let X be a smooth projective variety of dimension n over the field of complex numbers and let L be an ample line bundle on X. Then we call this pair(X, L) a polarized manifold. In this investigation, we studied an integer m which satisfies the following property : for any 4-dimensional polarized manifolds(X, L) whose adjoint bundle K_X+ L is nef, m(K_X+ L) has a global section. We proved that if m is greater than or equal to 3, then m(K_X+ L) has a global section. Furthermore we proved that we can apply this method to the case where n is less than or equal to 11. We also studied some invariants of polarized manifolds. These results will be useful for the study of the dimension of global sections of adjoint bundles.
|
