The topological types of hypersurface simple K3 singularities |
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Authors: | Atsuko Katanaga |
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Institution: | School of General Education, Shinshu University, 3-1-1 Asahi Matsumoto-shi, Nagano 390-8621, Japan |
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Abstract: | 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 K 3 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 S2×S3. Moreover, we also show that the topological types of hypersurface simple K3 singularities defined by non-degenerate semi-quasi-homogeneous polynomials are all different. |
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Keywords: | primary 32S25 secondary 57Q45 14J28 |
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