| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Research Abstract |
We proved that a Gorenstein isolated quotient singularity of odd prime dimension is a cyclic quotient singularity. We proved that the theta pairing defined by Hochster gives a pairing over the Grothendieck group divided by numerical equivalence. As a consequence, we proved that the class group of three dimensional isolated hypersurface singularity is torsion-free, and there always exists a counterexample of Dutta-Hochster-MacLauglin type if it is not a UFD.
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