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Families of curves on surfaces. (English) Zbl 0527.14005

14B07 Deformations of singularities
14H10 Families, moduli of curves (algebraic)
14H20 Singularities of curves, local rings
14J10 Families, moduli, classification: algebraic theory
14D15 Formal methods and deformations in algebraic geometry
14D05 Structure of families (Picard-Lefschetz, monodromy, etc.)
14B05 Singularities in algebraic geometry
14E15 Global theory and resolution of singularities (algebro-geometric aspects)
32S30 Deformations of complex singularities; vanishing cycles
Zbl 0516.14023
Full Text: DOI EuDML
[1] Artin, M.: Algebraization of formal moduli. In: Global Analysis. Princeton Univ. Press 1969 · Zbl 0205.50402
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[3] Hartshorne, R.: Algebraic Geometry. Berlin Heidelberg New York: Springer 1977 · Zbl 0367.14001
[4] Mumford, D.: Lectures on curves on an algebraic surface. Ann. of Math Studies59. Princeton: Princeton Univ. Press 1966 · Zbl 0187.42701
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[9] Teissier, B.: Cycles ?vanescents, sections planes, et conditions de Whitney. Asterisque7-8, 285-362 (1973) · Zbl 0295.14003
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[12] Zariski, O.: Studies in equisingularity, I and II. Amer. J. Math.87, 507-536, 972-1006 (1965) · Zbl 0132.41601
[13] Zariski, O.: Dimension theoretic characterization of maximal irreducible algebraic systems of plane nodal curves of a given ordern and with a given numberd of nodes. Amer. J. Math.104, 209-226 (1982) · Zbl 0516.14023
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