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On singularities arising from the contraction op the minimal section of a ruled surface

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Abstract

We will discuss the Gorenstein property of the singularity which is blown down from the minimal section of a ruled surface in terms of the extension class. In the case that the base field has positive characteristic, we find a new example (3.4) of Gorenstein singularity in connection with Theorem B.

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Authors and Affiliations

  1. Hokkaido College of Sensyu University, Bibai, 079-01, Hokkaido, Japan

    Fumio Hidaka

  2. Institute of Mathematics, University of Tsukuba, 305, Tsukuba, Japan

    Masataka Tomari

Authors
  1. Fumio Hidaka
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  2. Masataka Tomari
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Hidaka, F., Tomari, M. On singularities arising from the contraction op the minimal section of a ruled surface. Manuscripta Math 65, 329–347 (1989). https://doi.org/10.1007/BF01303041

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  • DOI: https://doi.org/10.1007/BF01303041

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