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A
simply connected surface of general type with $p_g=0$ and
$K^2=4$
Heesang Park, Jongil Park and Dongsoo Shin |
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Geometry & Topology 13 (2009) 1483–1494
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Abstract |
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As a continuation of the recent results of Y Lee and the second author [Invent. Math. 170 (2007) 483-505] and the authors [Geom. Topol. 13 (2009) 743-767], we construct a simply connected minimal complex surface of general type with and by using a rational blow-down surgery and –Gorenstein smoothing theory. |
Keywords
rational blow-down, $\mathbb{Q}$–Gorenstein smoothing,
surface of general type
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Mathematical Subject Classification 2000
Primary: 14J29
Secondary: 14J10, 14J17, 53D05
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References |
Publication
Received: 6 December 2008
Accepted: 10 February 2009
Published: 24 February 2009
Proposed: Ron Stern
Seconded: Jim Bryan, Ron Fintushel
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Authors |
| Heesang Park | |
| Department of Mathematical
Sciences Seoul National University San 56-1, Sillim-dong, Gwanak-gu Seoul 151-747 Korea |
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| Jongil Park | |
| Department of Mathematical
Sciences Seoul National University San 56-1, Sillim-dong, Gwanak-gu Seoul 151-747 Korea |
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| Dongsoo Shin | |
| Department of Mathematics Pohang University of Science and Technology San 31, Hyoja-dong, Nam-gu Pohang, Gyungbuk 790-784 Korea |
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