Artigo de periodico

Symplectic singularity of curves with semigroups (4, 5, 6, 7), (4, 5, 6) and (4, 5, 7) (2019)

• Authors:
  • Lira, Fausto Assunção de Brito
  • Domitrz, Wojciech
  • Atique, Roberta Godoi Wik
• USP affiliated authors: ATIQUE, ROBERTA GODOI WIK - ICMC
• Unidades: ICMC
• DOI: 10.1007/s00574-018-0102-z
• Subjects: GEOMETRIA SIMPLÉTICA; CURVAS ALGÉBRICAS; SINGULARIDADES; TEORIA DAS SINGULARIDADES
• Keywords: Curves; Algebraic restrictions
• Agências de fomento:
  • Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
  • Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
    Processo FAPESP: 2012/16426-4
  • Financiado pelo NCN, Polônia
• Language: Inglês
• Imprenta:
  • Publisher: Springer
  • Place of publication: Providence
  • Date published: 2019
• Source:
  • Título do periódico: Bulletin of the Brazilian Mathematical Society : New Series
  • ISSN: 1678-7544
  • Volume/Número/Paginação/Ano: v. 50, n. 2, p. 347-371, June 2019

Informações sobre o DOI: 10.1007/s00574-018-0102-z (Fonte: oaDOI API)
• Este periódico é de assinatura
• Este artigo NÃO é de acesso aberto
  
• Cor do Acesso Aberto: closed

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• ABNT

  LIRA, Fausto Assunção de Brito; DOMITRZ, Wojciech; ATIQUE, Roberta Godoi Wik. Symplectic singularity of curves with semigroups (4, 5, 6, 7), (4, 5, 6) and (4, 5, 7). Bulletin of the Brazilian Mathematical Society : New Series, Providence, Springer, v. 50, n. 2, p. 347-371, 2019. Disponível em: < http://dx.doi.org/10.1007/s00574-018-0102-z > DOI: 10.1007/s00574-018-0102-z.

• APA

  Lira, F. A. de B., Domitrz, W., & Atique, R. G. W. (2019). Symplectic singularity of curves with semigroups (4, 5, 6, 7), (4, 5, 6) and (4, 5, 7). Bulletin of the Brazilian Mathematical Society : New Series, 50( 2), 347-371. doi:10.1007/s00574-018-0102-z

• NLM

  Lira FA de B, Domitrz W, Atique RGW. Symplectic singularity of curves with semigroups (4, 5, 6, 7), (4, 5, 6) and (4, 5, 7) [Internet]. Bulletin of the Brazilian Mathematical Society : New Series. 2019 ; 50( 2): 347-371.Available from: http://dx.doi.org/10.1007/s00574-018-0102-z

• Vancouver

  Lira FA de B, Domitrz W, Atique RGW. Symplectic singularity of curves with semigroups (4, 5, 6, 7), (4, 5, 6) and (4, 5, 7) [Internet]. Bulletin of the Brazilian Mathematical Society : New Series. 2019 ; 50( 2): 347-371.Available from: http://dx.doi.org/10.1007/s00574-018-0102-z

Referências citadas na obra

Arnold, V.I.: First steps of local symplectic algebra. In: Differential Topology, Infinite-Dimensional Lie Algebras, and Applications, D. B. Fuchs’ 60th anniversary collection, Amer. Math. Soc. Transl. 194, American Mathematical Society, Providence, RI, pp. 1–8 (1999)
Arnold, V.I., Givental, A.B.: Symplectic Geometry, Dynamical Systems, IV, 1-138, Encyclopedia Math. Sci., vol. 4, Springer, Berlin (2001)
Decker, W., Greuel, G.-M., Pfister, G., Schönemann, H.: Singular 3-1-6—a computer algebra system for polynomial computations (2013). http://www.singular.uni-kl.de . Accessed 21 July 2014
Domitrz, W.: Local symplectic algebra of quasi-homogeneous curves. Fund. Math. 204(1), 57–86 (2009)
Domitrz, W.: Zero-dimensional symplectic isolated complete intersection singularities. J. Singul. 6, 19–26 (2012)
Domitrz, W., Janeczko, S., Zhitomirskii, M.: Symplectic singularities of varieties: the method of algebraic restrictions. J. Reine Angew. Math. 618, 197–235 (2008)
Domitrz, W., Janeczko, S., Zhitomirskii, M.: Generic singularities of symplectic and quasi-symplectic immersions. Math. Proc. Camb. Philos. Soc. 155(2), 317–329 (2013)
Domitrz, W., Rieger, J.H.: Volume preserving subgroups of $$\cal{A}$$ A and $$\cal{K}$$ K and singularities in unimodular geometry. Math. Ann. 345(4), 783–817 (2009)
Domitrz, W., Trȩbska, Ż.: Symplectic $$S\_\mu $$ S _ μ singularities. Real and Complex singularities, Contemp. Math. Soc., 569, American Mathematical Society, Providence, RI, pp. 45–65 (2012)
Domitrz, W., Trȩbska, Ż.: Symplectic $$T\_7, T\_8$$ T _ 7 , T _ 8 singularities and Lagrangian tangency orders. Proc. Edinburgh Math. Soc. 55(3), 657–683 (2012)
Ishikawa, G., Janeczko, S.: Symplectic bifurcations of plane curves and isotropic liftings. Quart. J. Math. 54(1), 73–102 (2003)
Kolgushkin, P.A.: Classification of simple multigerms of curves in a space endowed with a symplectic structure. St. Petersburg Math. J. 15(1), 103–126 (2004)
Levandovskyy, V., Lobillo, F.J., Motsak, O., Rabelo, C.: A Singular 3-1-6 library for General tools for noncommutative algebras (2013)
Trȩbska, Ż.: Symplectic $$W\_8$$ W _ 8 and $$W\_9$$ W _ 9 singularities. J. Singul. 6, 158–178 (2012)
Trȩbska, Ż.: Symplectic $$U\_7$$ U _ 7 , $$U\_8$$ U _ 8 and $$U\_9$$ U _ 9 singularities. Demonstr. Math. 48(2), 322–347 (2015)

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