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 in:Boletim da Sociedade Brasileira de Matemática 2019-06, Vol.50 (2), p.347-371
Main Authors: Assunção de Brito Lira, Fausto, Domitrz, Wojciech, Wik Atique, Roberta
Format: Article
Language:English
Subjects:
Algebra
Invariants
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Parameterization
Theoretical
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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