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dc.contributor.authorNuño-Ballesteros J.J.en_US
dc.contributor.authorPallarés Torres I.en_US
dc.date.accessioned2019-07-11T11:13:40Z
dc.date.available2019-07-11T11:13:40Z
dc.date.issued2019-02
dc.identifier.issn0385-4035
dc.identifier.urihttp://hdl.handle.net/20.500.11824/992
dc.description.abstractLet $f\colon (\mathbb{C}^n,0)\to (\mathbb{C}^{n+1},0)$ be a corank 1 finitely determined map germ. For a generic linear form $p\colon (\mathbb{C}^{n+1},0)\to(\mathbb{C},0)$ we denote by $g\colon (\mathbb{C}^{n-1},0)\to (\mathbb{C}^{n},0)$ the transverse slice of $f$ with respect to $p$. We prove that the sum of the image Milnor numbers $\mu_I(f)+\mu_I(g)$ is equal to the number of critical points of $p|_{X_s}\colon X_s\to\mathbb{C}$ on all the strata of $X_s$, where $X_s$ is the disentanglement of $f$ (i.e., the image of a stabilisation $f_s$ of $f$).en_US
dc.description.sponsorshipBERC.2014-2017 Severo Ochoa.SEV-2013-0323 MTM2015-64013-Pen_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherHokkaido Mathematical Journalen_US
dc.relationinfo:eu-repo/grantAgreement/EC/FP7/615655en_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectImage Milnor numberen_US
dc.subjectLê-Greuel formulaen_US
dc.subjectFinite determinacyen_US
dc.titleA Lê-Greuel type formula for the image Milnor numberen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/publishedVersionen_US
dc.relation.publisherversionhttp://hmj2.math.sci.hokudai.ac.jp/page/48-1/index.html#en_US


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