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VOL. 60 | 2010 Complex structure on the rational blowdown of sections in $E(4)$
Yongnam Lee

Editor(s) JongHae Keum, Shigeyuki Kondō, Kazuhiro Konno, Keiji Oguiso

Abstract

We show that there is a complex structure on the symplectic 4-manifold $W_{4,k}$ obtained from the elliptic surface E(4) by rationally blowing down $k$ sections for $2 \leq k \leq 9$. And we interpret it via $\mathbb{Q}$-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

Rights: Copyright © 2010 Mathematical Society of Japan

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