Abstract
We define, and in a range of cases find equations for, the multiple point spaces of finite maps. For a corank 1 map-germ of finite A-codimension, the multiple point spaces are isolated complete intersection singularities, which are smooth when the germ is stable. We develop and render concrete an alternative description of multiple point spaces due originally to Kleiman and Laksov.
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Mond, D., Nuño-Ballesteros, J.J. (2020). Multiple Points. In: Singularities of Mappings. Grundlehren der mathematischen Wissenschaften, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-030-34440-5_9
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DOI: https://doi.org/10.1007/978-3-030-34440-5_9
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-34439-9
Online ISBN: 978-3-030-34440-5
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