Complex structure on the rational blowdown of sections in E(4)
Algebraic Geometry
2010-03-15 v2 Geometric Topology
Abstract
We show that there is a complex structure on the symplectic 4-manifold obtained from the elliptic surface E(4) by rationally blowing down sections for . And we interpret it via -Gorenstein smoothing. This answers affirmatively to a question raised by R. Gompf.
Cite
@article{arxiv.0905.3705,
title = {Complex structure on the rational blowdown of sections in E(4)},
author = {Yongnam Lee},
journal= {arXiv preprint arXiv:0905.3705},
year = {2010}
}
Comments
Minor changes are made. It will apper in Advanced Studies in Pure Mathematics (Proceeding of Algebraic Geometry in East Asia)