Open Access
VOL. 60 | 2010 Complex structure on the rational blowdown of sections in E(4)E(4)
Chapter Author(s) Yongnam Lee
Editor(s) JongHae Keum, Shigeyuki Kondō, Kazuhiro Konno, Keiji Oguiso
Adv. Stud. Pure Math., 2010: 259-269 (2010) DOI: 10.2969/aspm/06010259

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 2k92k9. 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 , bidouble cover

Rights: Copyright © 2010 Mathematical Society of Japan

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