References
S. Abhyankar,Cubic surfaces with a double line, Mem. Coll. Sci. Kyoto, series A,32 (1960), 455–511.
A. Altman andS. Kleiman,Foundations of the theory of Fano schemes, Comp. Math.,34 (1977), 3–47.
D. Alibert andG. Maltsiniotis,Groupe fondamental du complément d’une courbe à points doubles ordinaires, Bull. Soc. Math. France,102 (1974), 335–351.
D. Coray,Enumerative geometry of rational space curves, Proc. London Math. Soc. (3),46 (1983), 263–287.
A. Grothendieck andJ. Dieudonné,Eléments de Géométrie Algébrique, Publ. Math. I.H.E.S., no. 32 (1967).
W. Fulton,Intersection Theory, Ergeb. Math. Grenzgeb., 3. Folge,2, Springer-Verlag (1983).
W. Fulton, S. Kleiman andR. MacPherson,About the enumeration of contacts, Proc. Ravello Conf., Springer LNM,997 (1983), 156–196.
R. Hartshorne,Algebraic Geometry, GTM52, Springer-Verlag (1977).
P. Le Barz,Formules multi-sécantes pour des courbes gauches quelconques, Conf. Enumerative geometry and classical algebraic geometry, ed. P. Le Barz, Y. Hervier, Birkhäuser P. M.24 (1982), 165–198.
I. Vainsencher,Counting divisors with prescribed singularities, Trans. Am. Math. Soc.,267 (1981), 399–422.
———,Conics in characteristic 2, Comp. Math.,36 (1978), 101–112.
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Coray, D.F., Vainsencher, I. Enumerative formulae for ruled cubic surfaces and rational quintic curves. Commentarii Mathematici Helvetici 61, 501–518 (1986). https://doi.org/10.1007/BF02621930
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DOI: https://doi.org/10.1007/BF02621930