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arXiv math/0608659math.ATmath.AG
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关于Picard-Lefschetz单值性的一个结果

A result about Picard-Lefschetz monodromy

Darren Tapp

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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