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The topological types of hypersurface simple K3 singularities
Katanaga, Atsuko
Copyright(c) 2013 Elsevier B.V.
We give a result that relates the diffeomorphism type of the link of a non-degenerate semi-quasi-homogeneous hypersurface simple K3 singularity with the singularities of the normal K3 surface that appears as the exceptional divisor of the resolution of the singularity. As a result, we show that the links are diffeomorphic to the connected sum of copies of S-2 x S-3. Moreover, we also show that the topological types of hypersurface simple K3 singularities defined by non-degenerate semi-quasi-homogeneous polynomials are all different.
Article
Topology Appl. 160(15):2025-2037 (2013)
ELSEVIER SCIENCE BV
2013-09
eng
journal article
AM
http://hdl.handle.net/10091/17562
https://soar-ir.repo.nii.ac.jp/records/15845
https://doi.org/10.1016/j.topol.2013.08.005
10.1016/j.topol.2013.08.005
0166-8641
AA00459572
TOPOLOGY AND ITS APPLICATIONS
160
2025
2037
https://soar-ir.repo.nii.ac.jp/record/15845/files/topological_types_of_hypersurface_simple_K3.pdf
application/pdf
139.4 kB
2015-09-28