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