On regularly fibered complex surfaces
微分几何
2007-05-23 v1 复变函数
摘要
We show that a compact complex surface which fibers smoothly over a curve of genus >1 with fibers of genus >1 fibers holomorphically. We deduce an improvement of a result in [D Kotschick, Math. Research Letters, 5 (1998) 227-234], and a characterisation of fibered surfaces with zero signature.
引用
@article{arxiv.math/9911255,
title = {On regularly fibered complex surfaces},
author = {D. Kotschick},
journal= {arXiv preprint arXiv:math/9911255},
year = {2007}
}
备注
8 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper15.abs.html