Moduli spaces of irreducible symplectic manifolds
Reference:
Gritsenko, V., Hulek, K. and Sankaran, G. K., 2010. Moduli spaces of irreducible symplectic manifolds. Compositio Mathematica, 146 (2), pp. 404-434.
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Official URL:
http://dx.doi.org/10.1112/s0010437x0900445x
Abstract
We study the moduli spaces of polarised irreducible symplectic manifolds. By a comparison with locally symmetric varieties of orthogonal type of dimension 20, we show that the moduli space of polarised deformation K3([2]) manifolds with polarisation of degree 2d and split type is of general type if d >= 12.
Details
| Item Type | Articles |
| Creators | Gritsenko, V., Hulek, K. and Sankaran, G. K. |
| DOI | 10.1112/s0010437x0900445x |
| Uncontrolled Keywords | orthogonal groups, irreducible symplectic manifold, siegel formula for quadratic forms, moduli |
| Departments | Faculty of Science > Mathematical Sciences |
| Refereed | Yes |
| Status | Published |
| ID Code | 18669 |
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