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arXiv · 0905.3705

Complex structure on the rational blowdown of sections in E(4)

Yongnam Lee
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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 $2\le k\le 9$. And we interpret it via ${\mathbb Q}$-Gorenstein smoothing. This answers affirmatively to a question raised by R. Gompf.

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Yongnam Lee. 2010-03-12. Complex structure on the rational blowdown of sections in E(4). https://arxiv.org/abs/0905.3705

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