planebranches.mws

The Analytic Classification of Plane Branches. In this paper we offer a solution to the problem of analytic classification of plane branches and to the associated moduli problem posed by Zariski in the 70’s. (see implementation planebranches.mws)


References in zbMATH (referenced in 21 articles , 1 standard article )

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  1. Binyamin, Muhammad Ahsan; Mehmood, Khawar; Pfister, Gerhard: Simple singularities of reducible curves in characteristic (p > 0) (2022)
  2. Cherednik, Ivan: Gröbner cells of punctual Hilbert schemes in dimension two (2022)
  3. de Abreu, Marcelo Osnar Rodrigues; Hernandes, Marcelo Escudeiro: On the analytic invariants and semiroots of plane branches (2022)
  4. Loubani, Jinan: The dimension of the moduli spaces of curves defined by topologically non quasi-homogeneous functions (2021)
  5. Pol, Delphine: Symmetry of maximals for fractional ideals of curves (2021)
  6. Ayuso, P. Fortuny; Ribón, J.: The action of a plane singular holomorphic flow on a non-invariant branch (2020)
  7. Carvalho, E.; Hernandes, M. E.: Standard bases for fractional ideals of the local ring of an algebroid curve (2020)
  8. Jaurez-Rosas, Jessica; Ortiz-Bobadilla, Laura: Realization of singular curves in dicritic foliations with prescribed involutions (2020)
  9. Fortuny Ayuso, P.: Vector flows and the analytic moduli of singular plane branches (2019)
  10. Hernandes, M. E.; Panek, N. M. P.: On the (\mathcalA)-equivalence of quasi-ordinary parameterizations (2019)
  11. Hefez, A.; Rodrigues, J. H. O.; Salomão, R.: Kähler differentials on a plane curve and a counterexample to a result of Zariski in positive characteristic (2018)
  12. Mehmood, Khawar; Pfister, Gerhard: Simple singularities of parametrized plane curves in positive characteristic (2018)
  13. Pol, Delphine: On the values of logarithmic residues along curves (2018)
  14. Hefez, A.; Hernandes, M. E.; Iglesias, M. F. Hernández: On polars of plane branches (2017)
  15. Neumann, Walter D.; Pichon, Anne: Lipschitz geometry does not determine embedded topological type (2017)
  16. Genzmer, Yohann; Paul, Emmanuel: Moduli spaces for topologically quasi-homogeneous functions (2016)
  17. Birbrair, Lev; Fernandes, Alexandre; Grandjean, Vincent: On the bi-Lipschitz contact equivalence of plane complex function-germs (2015)
  18. Hefez, A.; Hernandes, M. E.; Rodrigues Hernandes, M. E.: The analytic classification of plane curves with two branches (2015)
  19. Hefez, Abramo; Hernandes, Marcelo Escudeiro: Algorithms for the implementation of the analytic classification of plane branches (2013)
  20. Hefez, A.; Hernandes, M. E.: The analytic classification of plane branches (2011)

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