| Budget Amount *help |
¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
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| Research Abstract |
I have studied the birational types of some moduli spaces of K3 surfaces and curves, and related modular varieties of type IV. I have obtained both rationality results and general-typeness results. In the former direction, I proved the rationality of the moduli spaces of the following varieties: K3 with involution (except 2 classes), trigonal curves, and tetragonal curves (for about half genera). In the latter direction, I proved that there are only finitely many lattices of signature (2,n) with n>14 such that the modular variety associated to its stable orthogonal group is not of general type.
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