发生率Divisor
Incidence Divisor
摘要：
本文的目的是证明[BMg]中关联因子构造的一个重要推广。设Z是复流形，（X_{s}）_{s \in S}是Z中由约化复空间S参数化的n-圈族（不一定是紧的）.则对Z中的任意n+1-余维圈Y，若Y满足以下条件：解析集（S \times |Y|）S \times Z中的\cap |X|是S-真的，且在其象上一般有限|联系我们|在S中无处稠密的，与支持的Cartier除数_{Y}相关联|联系我们|.证明了这一对应的良好函子性质，并推导出这一因子与S中曲线的相交数。
英文摘要：
The aim of this paper is to prove an important generalization of the construction of the Incidence Divisor given in [BMg]. Let Z be a complex manifold and (X_{s})_{s\in S}an family of n-cycles (not necessarily compact) in Z parametrized by reduced complex space S. Then, to any n+1- codimensional cycle Y in Z wich satisfies the following condition : the analytic set (S\times |Y|)\cap |X| in S\times Z is S-proper and generically finite on its image |Σ_{Y}| wich is nowhere dense in S, is associated a Cartier Divisor Σ_{Y} with support |Σ_{Y}|. Nice functorial properties of this correspondance are proven and we deduce the intersection number of this divisor with a curve in S.
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