INVARIANTS OF RELATIVE RIGHT AND CONTACT EQUIVALENCES

Autor(es)

Ahmed, Imran ^[1] ; Soares Ruas, Maria Aparecida ^[2]

Afiliação do(s) autor(es)

^[1] COMSATS Inst Informat Technol, Dept Math, Lahore - Pakistan

^[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: HOUSTON JOURNAL OF MATHEMATICS; v. 37, n. 3, p. 773-786, 2011.
• Citações Web of Science: 1

Resumo

We study holomorphic function germs under equivalence relations that preserve an analytic variety. We show that two quasihomogeneous polynomials, not necessarily with isolated singularities, having isomorphic relative Milnor algebras are relative right equivalent. Under the condition that the module of vector fields tangent to the variety is finitely generated, we also show that the relative Tjurina algebra is a complete invariant for the classification of arbitrary function germs with respect to the relative contact equivalence. This is the relative version of a well known result by Mather and Yau. (AU)

• Processo FAPESP: 08/54222-6 - Singularidades, geometria e equações diferenciais
• Beneficiário: Maria Aparecida Soares Ruas
• Modalidade de apoio: Auxílio à Pesquisa - Temático