On regularly fibered complex surfaces
classification
🧮 math.DG
math.CV
keywords
fiberscomplexfiberedgenussurfacescharacterisationcompactcurve
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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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