关于Picard-Lefschetz单值性的一个结果
A result about Picard-Lefschetz monodromy
摘要:
令$f$和$g$在不同的变量集中约化为齐次多项式。我们建立了一个简单的公式,将单值算子在$fg$的Milnor纤维上同调的本征空间分解分别与$f$和$g$的本征空间分解联系起来。我们利用D. Cohen和A.苏丘
英文摘要:
Let $f$ and $g$ be reduced homogeneous polynomials in separate sets of variables. We establish a simple formula that relates the eigenspace decomposition of the monodromy operator on the Milnor fiber cohomology of $fg$ to that of $f$ and $g$ separately. We use a relation between local systems and Milnor fiber cohomology that has been established by D. Cohen and A. Suciu.
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