On regularly fibered complex surfaces

Details On regularly fibered complex surfaces On regularly fibered complex surfaces

1999-11-20

arxiv.org/abs/math/9911255v1

Geom. Topol. Monogr. 2 (1999), 291-298

Mathematics

Differential Geometry

8 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper15.abs.html

Scientific paper

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.

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