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    Enumeration of surfaces containing an elliptic quartic curve

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    A very general surface of degree at least four in P 3 contains no curves other than intersections with surfaces. We find a formula for the degree of the locus of surfaces in P 3 of degree at least five which contain some elliptic quartic curve. We also compute the degree of the locus of quartic surfaces containing an elliptic quartic curve, a case not covered by that formula.Fil: Cukierman, Fernando Miguel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Lopez, A. F.. Universita Di Roma; ItaliaFil: Vainsencher, I.. Universidade Federal do Minas Gerais; Brasi
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