Research

On some lattice computations related to moduli problems


Reference:

Peterson, A. and Sankaran, G., 2010. On some lattice computations related to moduli problems. Rendiconti del Seminario Matematico. Università e Politecnico Torino, 68 (3), pp. 289-304.

Related documents:

[img]
Preview
PDF (fiftytwo.pdf) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (195kB) | Preview

    Abstract

    The method used in [6] to prove that most moduli spaces of K3 surfaces are of general type leads to a combinatorial problem about the possible number of roots orthogonal to a vector of given length in E8. A similar problem arises for E7 in [8]. Both were solved partly by computer methods. We use an improved computation and find one further case, omitted from [6]: the moduli space ℒ2d of K3 surfaces with polarisation of degree 2d is also of general type for d = 52. We also apply this method to some related problems. In Appendix A, V. Gritsenko shows how to arrive at the case d = 52 and some others directly.

    Details

    Item Type Articles
    CreatorsPeterson, A.and Sankaran, G.
    DepartmentsFaculty of Science > Mathematical Sciences
    RefereedYes
    StatusPublished
    ID Code25888

    Export

    Actions (login required)

    View Item

    Document Downloads

    More statistics for this item...