Geometry & Topology Monographs 2 (1999), Proceedings of the Kirbyfest, paper no. 15, pages 291-298.

On regularly fibered complex surfaces

D Kotschick

Abstract. 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.

Keywords. Surface bundle, fibered surface, mapping class group

AMS subject classification. Primary: 14H15. Secondary: 14J29, 20F34, 32L30, 57M50.

E-print: arXiv:math.DG/9911255

Submitted: 19 January 1999. (Revised: 8 February 1999.) Published: 20 November 1999.

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D Kotschick
Mathematisches Institut, Universitat Munchen
Theresienstr. 39, 80333 Munchen, Germany
Email: dieter@member.ams.org

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