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Infinitely near imposed singularities and singularities of polar curves

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References

  1. Bertini, E.: Geometria proiettiva degli ipespazi. Messina: Principato, 1923

    Google Scholar 

  2. Casas-Alvero, E.: Moduli of algebroid plane curves, in: Algebraic geometry, La Rábida 1981 (Lect. Notes Math., vol. 961, pp. 32–83.) Berlin Heidelberg New York: Springer 1983

    Google Scholar 

  3. Casas-Alvero, E.: On the singularities of polar curves. Manuscr. Math.43, 167–190 (1983)

    Google Scholar 

  4. Coolidge, J.L.: A treatise on algebraic plane curves. Oxford: Oxford University Press 1931

    Google Scholar 

  5. Enriques, F.: Teoria geometrica delle equazioni e delle funzioni algebriche. Bologna: Zanichelli 1915

    Google Scholar 

  6. Ephraim, R.: Special polars and curves with one place at infinity. Proc. Symp. Pure Math.40.1, 353–361 (1983)

    Google Scholar 

  7. Hardy, G.H., Wright, E. M.: An introduction to the theory of numbers. Oxford: Clarendon Press 1968

    Google Scholar 

  8. Kuo, T.C., Lu, Y.C.: On analytic function germs of two variables. Topology16, 299–310 (1977)

    Google Scholar 

  9. Merle, M.: Invariants polaires des courbes planes. Invent. Math.41, 103–111 (1977)

    Google Scholar 

  10. Noether, M.: Rationale Ausfuhrung der Operationen... Math. Ann.23, 311–358 (1884)

    Google Scholar 

  11. Northcott, D.G.: On the notion of a first neighbourhood ring... Proc. Cambridge Phil. Soc.53, 43–56 (1957)

    Google Scholar 

  12. Pham, F., Deformations equisinguliéres des idèaux jacobiens des courbes planes, in: Proc of Liverpool Singularities Symposium II (Lect. Notes Math., vol. 209, pp. 218–233) Berlin Heidelberg New York: Springer 1971

    Google Scholar 

  13. Segre, B., Sullo scioglimento delle singolarità delle varietà algebriche. Ann. Mat. Pura Appl. IV.33, 5–48 (1952)

    Google Scholar 

  14. Semple, J.G., Kneebone, G.T.: Algebraic curves. London: Oxford University Press 1959

    Google Scholar 

  15. Severi, F.: Tratatto di geometria algebrica. Bologna: Zanichelli 1926

    Google Scholar 

  16. Teissier, B.: Variétés polaires I. Invariants polaires des singularités d'hypersurfaces. Invent. Math.40, 267–292 (1977)

    Google Scholar 

  17. Teissier, B.: The hunting of invariants in the geometry of discriminants, in: Real and complex singularities—Oslo 1976, pp. 565–677. Sijthoff-Noordhoff 1977

  18. Waerden, B. L. Van der: Infinitely near points. Ind. Math.12, 401–410 (1950)

    Google Scholar 

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  1. Department d'Àlgebrai Geometria, Universitat de Barcelona, Gran Via 585, E-08007, Barcelona, Spain

    E. Casas-Alvero

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  1. E. Casas-Alvero
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Casas-Alvero, E. Infinitely near imposed singularities and singularities of polar curves. Math. Ann. 287, 429–454 (1990). https://doi.org/10.1007/BF01446904

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