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The monodromy of a degenerating family of curves

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References

  1. A'Campo, N.: Sur la monodromie des singularités isolées d'hypersurfaces complexes. Inventiones. math.20, 147–169 (1973)

    Google Scholar 

  2. Durfee, A.: Foliations of odd-dimensional spheres. Annals of Math.96, 407–411 (1972)

    Google Scholar 

  3. Durfee, A.: The characteristic polynomial of the monodromy, to appear, Pacific J. Math.

  4. Kodaira, K.: On analytic surfaces: II. Annals of Math.78, 563–626 (1963)

    Google Scholar 

  5. Laufer, H.: Normal two-dimensional singularities, Annals of Math. Studies, No. 71. Princeton University Press, 1971

  6. Lê Dung Tráng: Sur les noeuds algébriques. Compositio Math.25, 281–321 (1972)

    Google Scholar 

  7. Lefschetz, S.: L'analysis situs et la géométrie algébrique. Paris: Gauthier-Villars 1924

    Google Scholar 

  8. Mayer, A.: Compactification of the variety of moduli of curves. In: “Seminar on degeneration of algebraic varieties”, Institute for Advanced Study, Princeton, 1969 (mimeographed)

  9. Milnor, J.: Singular points of complex hypersurfaces, Annals of Math. Studies, No. 61, Princeton University Press, 1968

  10. Mumford, D.: The topology of normal singularities of an algebraic surface and a criterion for simplicity. Publ. Math., No. 9, l'Inst. des Hautes Etudes Sci., Paris, 1961

    Google Scholar 

  11. Orlik, P., Wagreich, P.: Isolated singularities of algebraic surfaces with ℂ* action. Annals of Math.93, 205–228 (1971)

    Google Scholar 

  12. Sebastiani, M., Thom, R.: Un résultat sur la monodromie. Inventiones math.13, 90–96 (1971)

    Google Scholar 

  13. Woods, J.: Some criteria for finite and infinite monodromy of plane algebraic curves. Inventiones math.26, 179–185 (1974)

    Google Scholar 

  14. Kempf, G., Knudsen, F., Mumford, D., Saint-Donat, B.: Toroidal embeddings I, Lecture Notes in Mathematics339. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

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Research partially supported by NSF grant number GP 34785X.

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Durfee, A.H. The monodromy of a degenerating family of curves. Invent Math 28, 231–241 (1975). https://doi.org/10.1007/BF01425559

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  • DOI: https://doi.org/10.1007/BF01425559

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