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Exponents and Newton polyhedra of isolated hypersurface singularities

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References

  1. Ehlers, F., Lo, K.-C.: Minimal Characteristic Exponent of the Gauss-Manin Connection of Isolated Singular Point and Newton Polyhedron. Math. Ann.259, 431–441 (1982).

    Google Scholar 

  2. Kouchnirenko, A.-G.: Polyèdre de Newton et nombres de Milnor. Invent. Math.32, 1–31 (1976)

    Google Scholar 

  3. Pham, F.: Singularités des systèmes différentiels de Gauss-Manin. Progress in Math. Basel Boston Stuttgart: Birkhäuser 1979

    Google Scholar 

  4. Saito, M.: Hodge filtrations on Gauss-Manin system. I. J. Fac. Sci. Univ. Tokyo, Sect. 1A30, 489–498 (1984)

    Google Scholar 

  5. Saito, M.: On the exponents and the geometric genus of an isolated hypersurface singularity. Proc. Symp. Pure Math.40, Part 2 AMS, 465–472 (1983)

    Google Scholar 

  6. Steenbrink, J.: Mixed Hodge structure on the vanishing cohomology, in Real and Complex Singularities (Proc. Nordic Summer School, Oslo, 1976, pp. 525–563) Alphen a/d Rijn: Sijthoff and Noordhoff 1977

    Google Scholar 

  7. Merle, M., Teissier, B.: Conditions d'adjonction, d'après Duval (Lecture Notes Mathematics, Vol. 777, pp. 229–245). Berlin, Heidelberg, New York: Springer 1980

    Google Scholar 

  8. Varčenko, A.N.: Asymptotic Hodge structure in the vanishing cohomology. Math. USSR Izvestija18, 465–512 (1982)

    Google Scholar 

  9. Arnold, V.I.: The index of a singular point of a vector field, the Petrovskiî-Oleînik inequalities, and mixed Hodge structures. Funct. Anal. Appl.12, 1–12 (1978)

    Google Scholar 

  10. Danilov, V.I.: Newton polyhedra and vanishing cohomology. Funct. Anal. Appl.13, 103–115 (1979)

    Google Scholar 

  11. Grothendieck, A., Dieudonne, J.: Eléments de géométrie algébrique. III. Publ. Math. IHES11 (1961)

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  1. Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan

    Morihiko Saito

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  1. Morihiko Saito
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Saito, M. Exponents and Newton polyhedra of isolated hypersurface singularities. Math. Ann. 281, 411–417 (1988). https://doi.org/10.1007/BF01457153

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  • DOI: https://doi.org/10.1007/BF01457153

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