Symplectic Singularity of Curves with Semigroups (4,5,6,7),(4,5,6) and (4,5,7)

Autor(es)

de Brito Lira, Fausto Assuncao ^[1] ; Domitrz, Wojciech ^[2] ; Atique, Roberta Wik ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Av Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil

^[2] Warsaw Univ Technol, Fac Math & Informat Sci, Ul Koszykowa 75, PL-00662 Warsaw - Poland

• Tipo de documento: Artigo Científico
• Fonte: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 50, n. 2, p. 347-371, JUN 2019.
• Citações Web of Science: 0

Resumo

We study the local symplectic algebra of curves with semigroups (4,5,6,7), (4,5,6) and (4,5,7). We use the method of algebraic restrictions to parameterized curves as in Domitrz (Fund Math 204(1):57-86, 2009). A new discrete invariant for algebraic restrictions to parameterized quasi-homogeneous curves is introduced. This invariant together with the method of algebraic restriction can distinguish different symplectic orbits of quasi-homogeneous curves. (AU)

• Processo FAPESP: 12/16426-4 - Singularidades simpléticas de aplicações diferenciáveis
• Beneficiário: Fausto Assunção de Brito Lira
• Modalidade de apoio: Bolsas no Brasil - Doutorado