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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.)

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

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Author(s):
de Brito Lira, Fausto Assuncao [1] ; Domitrz, Wojciech [2] ; Atique, Roberta Wik [1]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 50, n. 2, p. 347-371, JUN 2019.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 12/16426-4 - Symplectic singularities of differentiable mappings
Grantee:Fausto Assunção de Brito Lira
Support Opportunities: Scholarships in Brazil - Doctorate