| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
There is a mysterious phenomenon called ``strange duality’’ in the study of moduli spaces of semistable sheaves on projective varieties. This is a phenomenon where the vector spaces of global sections of certain line bundles on certain two moduli spaces. In the case of curves, most strange dualities have been settled, but in the case of surfaces, there remain unsolved problems. In this study, we gave proofs to some cases of strange dualities for the projective plane and K3 surfaces. We also proved a factorization theorem for the spaces of generalized theta functions on the moduli of special orthogonal bundles.
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