| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2021: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2020: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
It is fundamental to study line bundles in the study of algebraic varieties. As a higher rank version, vector bundles are also basic object to study. There is a phenomena called strange duality which concerns generalized theta divisors on the moduli spaces of vector bundles. In this research, we obtain the following result : a partial result on the strange duality of holomorphic triples on a curve; a representation of height zero moduli spaces of algebraic sheaves on a del Pezzo surface of degree 5 or 6 as a quiver representation; a result on subvarieties of geometric genus zero in a general hypersuface in a projective space.
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