arXiv
Open Access
2021
Counting Lines with Vinberg's algorithm
Alex Degtyarev
Sławomir Rams
Abstrak
We combine classical Vinberg's algorithms with the lattice-theoretic/arithmetic approach from arXiv:1706.05734 [math.AG] to give a method of classifying large line configurations on complex quasi-polarized K3-surfaces. We apply our method to classify all complex K3-octic surfaces with at worst Du Val singularities and at least 32 lines. The upper bound on the number of lines is 36, as in the smooth case, with at most 32 lines if the singular locus is non-empty.
Topik & Kata Kunci
Penulis (2)
A
Alex Degtyarev
S
Sławomir Rams
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2021
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