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The monodromy of a degenerating family of curves. (English) Zbl 0278.14010


MSC:

14H15 Families, moduli of curves (analytic)
14F25 Classical real and complex (co)homology in algebraic geometry
14B10 Infinitesimal methods in algebraic geometry

References:

[1] A’Campo, N.: Sur la monodromie des singularités isolées d’hypersurfaces complexes. Inventiones. math.20, 147-169 (1973) · Zbl 0264.14002 · doi:10.1007/BF01404063
[2] Durfee, A.: Foliations of odd-dimensional spheres. Annals of Math.96, 407-411 (1972) · Zbl 0231.57016 · doi:10.2307/1970795
[3] Durfee, A.: The characteristic polynomial of the monodromy, to appear, Pacific J. Math. · Zbl 0288.14002
[4] Kodaira, K.: On analytic surfaces: II. Annals of Math.78, 563-626 (1963) · Zbl 0118.15802 · doi:10.2307/1970131
[5] Laufer, H.: Normal two-dimensional singularities, Annals of Math. Studies, No. 71. Princeton University Press, 1971 · Zbl 0245.32005
[6] Lê Dung Tráng: Sur les noeuds algébriques. Compositio Math.25, 281-321 (1972)
[7] Lefschetz, S.: L’analysis situs et la géométrie algébrique. Paris: Gauthier-Villars 1924
[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 · Zbl 0184.48405
[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 · Zbl 0108.16801
[11] Orlik, P., Wagreich, P.: Isolated singularities of algebraic surfaces with ?* action. Annals of Math.93, 205-228 (1971) · Zbl 0212.53702 · doi:10.2307/1970772
[12] Sebastiani, M., Thom, R.: Un résultat sur la monodromie. Inventiones math.13, 90-96 (1971) · Zbl 0233.32025 · doi:10.1007/BF01390095
[13] Woods, J.: Some criteria for finite and infinite monodromy of plane algebraic curves. Inventiones math.26, 179-185 (1974) · Zbl 0328.14007 · doi:10.1007/BF01418947
[14] Kempf, G., Knudsen, F., Mumford, D., Saint-Donat, B.: Toroidal embeddings I, Lecture Notes in Mathematics339. Berlin-Heidelberg-New York: Springer 1973 · Zbl 0271.14017
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