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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Milnor Numbers of Deformations of Semi-Quasi-Homogeneous Plane Curve Singularities

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Author(s):
Michalska, Maria [1, 2] ; Walewska, Justyna [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, ICMC, Ave Trabalhador Sao Carlense, 400 Ctr, BR-13566590 Sao Carlos, SP - Brazil
[2] Uniwersytet Lodzki, WydziaL Matemat & Informatyki, Banacha 22, PL-90238 Lodz - Poland
Total Affiliations: 2
Document type: Journal article
Source: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 50, n. 1, p. 95-117, MAR 2019.
Web of Science Citations: 0
Abstract

The aim of this paper is to show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularity f. Assuming that f is irreducible, one can write f = qa+ p ss = pq ca ss xa y ss where cp0c0q = 0, 2 = p < q and p, q are coprime. We show that as Milnor numbers of deformations of f one can attain all numbers from mu(f) to mu(f)-r (p-r), where q = r (mod p). Moreover, we provide an algorithm which produces the desired deformations. (AU)

FAPESP's process: 15/08149-9 - Variations in multiplicities and limited polynomials
Grantee:Maria Jadwiga Michalska
Support Opportunities: Scholarships in Brazil - Post-Doctoral