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We prove that for a branch of these families, the topological type of the discriminant curve is determined by the semigroup, the Zariski invariant and at most two other analytical invariants of the branch.\n<\/jats:p>","DOI":"10.1007\/s10998-021-00410-0","type":"journal-article","created":{"date-parts":[[2021,9,8]],"date-time":"2021-09-08T07:02:31Z","timestamp":1631084551000},"page":"321-345","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Topological type of discriminants of some special families"],"prefix":"10.1007","volume":"84","author":[{"given":"Evelia R.","family":"Garc\u00eda Barroso","sequence":"first","affiliation":[]},{"given":"M. Fernando","family":"Hern\u00e1ndez Iglesias","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,9,8]]},"reference":[{"key":"410_CR1","doi-asserted-by":"crossref","unstructured":"V. Bayer, A. Hefez. Algebroid plane curves whose Milnor and Tjurina numbers differ by one or two. Bol. Soc. Brasil. Mat. (N.S.) 32(1), 63\u201381 (2001)","DOI":"10.1007\/BF01238958"},{"issue":"3","key":"410_CR2","doi-asserted-by":"publisher","first-page":"373","DOI":"10.4310\/AJM.2007.v11.n3.a3","volume":"11","author":"E Casas-Alvero","year":"2007","unstructured":"E. Casas-Alvero, Local geometry of planar analytic morphisms. Asian J. Math. 11(3), 373\u2013426 (2007)","journal-title":"Asian J. Math."},{"key":"410_CR3","unstructured":"A. Chenciner. Courbes alg\u00e9briques planes. Publications Math\u00e9matiques de l\u2019Universit\u00e9 Paris VII, 1978"},{"key":"410_CR4","doi-asserted-by":"crossref","unstructured":"E. R. Garc\u00eda Barroso, J. Gwo\u017adziewicz, A discriminant criterion of irreducibility. Kodai Math. J. 35(2), 403\u2013414 (2012)","DOI":"10.2996\/kmj\/1341401060"},{"key":"410_CR5","doi-asserted-by":"publisher","unstructured":"E.R. Garc\u00eda Barroso, J. Gwo\u017adziewicz, A. 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