Moduli spaces of K3 surfaces
| Project/Area Number |
24840025
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Nagoya University |
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Principal Investigator |
MA Shouhei 名古屋大学, 多元数理科学研究科, 助教 (80633255)
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| Project Period (FY) |
2012-08-31 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| 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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| Keywords | モジュライ空間 / モジュラー多様体 |
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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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Report
(3 results)
Research Products
(23 results)
