| Budget Amount *help |
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2013: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2012: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
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| Outline of Final Research Achievements |
We gave explicit equations of smooth Jacobian Kummer surfaces of degree 8 in the five dimensional projective space by theta functions. As byproducts, we wrote down Rosenhain's 80 hyperpanes and 32 lines on these Kummer surfaces explicitly. Moreover we studied the fibration of Kummer surfaces over the Satake compactification of the Siegel modular 3-fold of level (2,4). The total space is a smooth projective 5-fold which is regarded as a higher-dimensional analogue of Shioda's elliptic modular surfaces.
We also studied a modular 4-fold that are realized as a W(E6)-invariant hypersurface in the five dimensional projective space.
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