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Some New Combinatorial Conditions on the Singular Fibre of a Fibration
作者单位:Department of Mathematics,Shanghai Normal University,Shanghai,200234
摘    要:Some New Combinatorial Conditions on the Singular Fibre of a FibrationTangMingyyuan(唐明元)(DepartmentofMathematics,ShanghaiNorm...


Some New Combinatorial Conditions on the Singular Fibre of a Fibration
Authors:Tang Mingyyuan
Abstract:For any relative minimal fibration of gender g, we have known some basic combinatorialproperties, i. e, the necessary conditions (1)-(5) in this paper. Xiao1] showed that these conditionsare not sufficient for g>2 and gave another two nccry conditions. In this peper, we use themethed of the Stable Reduction and the roemann-Hurtvitz formula to obtain some new combinatorialconditions. These resultS are reduced to three propeitions.
Keywords:Fibration  Singular Fibre  Base Extension  Principal component
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