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A simply connected surface of general type with p g =0 and K 2=2

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In this paper we construct a simply connected, minimal, complex surface of general type with p g =0 and K 2=2 using a rational blow-down surgery and a ℚ-Gorenstein smoothing theory.

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Authors and Affiliations

  1. Department of Mathematics, Sogang University, Sinsu-dong, Mapo-gu, Seoul, 121-742, Korea

    Yongnam Lee

  2. Department of Mathematical Sciences, Seoul National University, San 56-1, Sillim-dong, Gwanak-gu, Seoul, 151-747, Korea

    Jongil Park

Authors
  1. Yongnam Lee
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  2. Jongil Park
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Correspondence to Jongil Park.

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Mathematics Subject Classification (2000)

Primary 14J29; Secondary 14J10, 14J17, 53D05

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Lee, Y., Park, J. A simply connected surface of general type with p g =0 and K 2=2. Invent. math. 170, 483–505 (2007). https://doi.org/10.1007/s00222-007-0069-7

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  • DOI: https://doi.org/10.1007/s00222-007-0069-7

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