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arxiv: 1610.01328 · v1 · pith:C6TN4SQRnew · submitted 2016-10-05 · 🧮 math.AG

Disentanglements of corank 2 map-germs: two examples

classification 🧮 math.AG
keywords corankexamplesicssmathbbcomputecomputingdetaileddisentanglements
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We compute the homology of the multiple point spaces of stable perturbations of two germs $(\mathbb{C}^n,0)\to (\mathbb{C}^{n+1},0)$ of corank 2, one with $n=3$ and one with $n=5$. We use a variety of techniques based on the image computing spectral sequence ICSS. We provide a reasonably detailed introduction to the ICSS, including some low-dimensional examples of its use. The paper is partly expository.

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