Abstract
We show that there is a complex structure on the symplectic 4-manifold W4,kW4,k obtained from the elliptic surface E(4) by rationally blowing down kk sections for 2≤k≤92≤k≤9. And we interpret it via Q-Gorenstein smoothing. This answers affirmatively to a question raised by R. Gompf.
Information
Published: 1 January 2010
First available in Project Euclid: 24 November 2018
zbMATH: 1214.14033
MathSciNet: MR2761931
Digital Object Identifier: 10.2969/aspm/06010259
Subjects:
Primary:
14J10
,
14J17
,
14J29
,
53D05
Keywords:
Q-Gorenstein smoothing
,
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Rights: Copyright © 2010 Mathematical Society of Japan