| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Outline of Final Research Achievements |
In relation to the problem of constructing a good degeneration of irreducible symplectic manifolds, we studied the local structure of a relative Hilbert scheme associated with a semistable family of algebraic surfaces whose singular fiber has no triple point. More precisely, we clarified the structure of singularities, birational modifications and a topological invariant called orbifold cohomology of the relative symmetric product, which is given as a image of the relative Hilbert scheme under the Hilbert-Chow morphism.
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