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

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Autor(es):	Michalska, Maria ^{[1, 2]} ; Walewska, Justyna ^[2] Número total de Autores: 2
Afiliação do(s) autor(es):	^[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 Número total de Afiliações: 2
Tipo de documento:	Artigo Científico
Fonte:	BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 50, n. 1, p. 95-117, MAR 2019.
Citações Web of Science:	0
Resumo
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)

Processo FAPESP:	15/08149-9 - Variações em multiplicidades e polinômios limitados
Beneficiário:	Maria Jadwiga Michalska
Modalidade de apoio:	Bolsas no Brasil - Pós-Doutorado