Abstract
We focus on parameterised hypersurfaces, and explore the information one can obtain from the matrix of a presentation of the push-forward of the structure sheaf, through the use of Fitting ideals. We show that in a number of cases the spaces defined by the Fitting ideals are Cohen–Macaulay, extending the previously known range. We prove the Milnor–Tjurina relation for parameterised hypersurfaces whose dimension is no greater than two.
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Mond, D., Nuño-Ballesteros, J.J. (2020). Multiple Points in the Target: The Case of Parameterised Hypersurfaces. In: Singularities of Mappings. Grundlehren der mathematischen Wissenschaften, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-030-34440-5_11
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DOI: https://doi.org/10.1007/978-3-030-34440-5_11
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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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