| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
There is a theta divisor on the Picard group, the set of linear equivalence classes of divisors, of a compact Riemann surface. As a ``non-abelian analogue’’, we have a generalized theta divisor on the moduli space of algebraic vector bundles on a compact Riemann surface. A global section of the line bundle associated with a generalized theta divisor is called a generalized theta function. We have an interesting phenomena called Strange duality about generalized theta functions. It is conjectured that we also have Strange duality phenomena for moduli spaces of sheaves on projective surfaces. I once proved partially the strange duality conjecture for projective plane. In this research, continuing the preceding research, I proved some cases of the strange duality conjecture for a quadric surface.
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