| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
With Kotaro Kawatani, we studied the relationship between the semi-orthogonal decompositions of the derived category of coherent sheaves and the canonical linear system. We obtained some results in this direction. Also with Hokuto Uehara, we identified the structure of the exceptional sheaves on the Hirzebruch surface of degree 2.
Concerning noncommutative algebraic geometry, with Tarig Abdelgadir and Kazushi Ueda, we introduced a certain construction of compactified moduli spaces of noncommutative algebraic varieties and studied their structures for the case of noncommutative del Pezzo surfaces. Also with Taro Sano, we studied the noncommutative rigidity of the moduli stack of stable pointed curves.
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