| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
O’Grady constructed two sporadic examples of compact irreducible symplectic Kahler manifolds using moduli spaces of rank 2 semi-stable coherent sheaves on a K3 surface or an Abelian surface. I studied the locus of non-locally free sheaves in these moduli spaces and clarified some birational-geometric structures on the O’Grady’s examples. In the course of study, I investigated a method to calculate explicitly some invariant rings associated to the moduli problem using classical invariant theory, with the aid of computational algebra.
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