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

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-homogen...

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Bibliographic Details
Published inBoletim da Sociedade Brasileira de Matemática Vol. 50; no. 2; pp. 347 - 371
Main Authors Assunção de Brito Lira, Fausto, Domitrz, Wojciech, Wik Atique, Roberta
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2019
Springer Nature B.V
Subjects
Algebra
Invariants
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Parameterization
Theoretical
Secondary 14H20
Algebraic restrictions
Singularities
58K50
58A10
Primary 53D05
Curves
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Summary: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.
ISSN:1678-7544
1678-7714
DOI:10.1007/s00574-018-0102-z