no. 2
The enumeration of simultaneous higher-order contacts between plane curves
Compositio Mathematica, Tome 93 (1994) no. 2, pp. 171-209. 
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Colley, Susan Jane; Kennedy, Gary. The enumeration of simultaneous higher-order contacts between plane curves. Compositio Mathematica, Tome 93 (1994) no. 2, pp. 171-209. http://www.numdam.org/item/CM_1994__93_2_171_0/

1 P. Aluffi, The enumerative geometry of plane cubics, I. Smooth cubics, Trans. Amer. Math. Soc. 317(2) (1990), 501-539. | MR | Zbl

2 P. Aluffi, The enumerative geometry of plane cubics, II. Nodal and cuspidal cubics, Math. Annalen 289 (1991), 543-572. | MR | Zbl

3 P. Aluffi, Two characteristic numbers for smooth plane curves of any degree, Trans. Amer. Math. Soc. 329(1) (1992), 73-96. | MR | Zbl

4 E. Arrondo, I. Sols and R. Speiser, Global moduli for contacts, preprint, 1992. | MR | Zbl

5 S.J. Colley and G. Kennedy, A higher-order contact formula for plane curves, Comm. Algebra 19(2) (1991), 479-508. | MR | Zbl

6 S.J. Colley and G. Kennedy, Triple and quadruple contact of plane curves. In: S. L. Kleiman and A. Thorup (eds), Enumerative Algebraic Geometry, Contemp. Math., vol. 123, Amer. Math. Soc., Providence, 1991, pp. 31-59. | MR | Zbl

7 A. Collino, Evidence for a conjecture of Ellingsrud and Strømme on the Chow ring of Hilb d(P2), Illinois J. Math. 32 (1988), 171-210. | MR | Zbl

8 G. Elencwajg and P. Le Barz, L'anneau de Chow des triangles du plan, Compositio Math. 71 (1989), 85-119. | Numdam | MR | Zbl

9 G. Ellingsrud and S.A. Strømme, On the homology of the Hilbert scheme of points in the plane, Invent. Math. 87(2) (1987), 343-352. | MR | Zbl

10 G. Ellingsrud and S.A. Strømme, On a cell decomposition of the Hilbert scheme of points in the plane, Invent. Math. 91(2) (1988), 365-370. | MR | Zbl

11 W. Fulton, S.L. Kleiman and R. Macpherson, About the enumeration of contacts, Lect. Notes in Math., vol. 997, (Springer: Berlin, New-York), 1983, pp. 156-196. | MR | Zbl

12 D. Hilbert, Mathematical problems, translated by M. W. Newson, Bull. Amer. Math. Soc. 50 (1902), 437-479. | JFM

13 J.P.E.F. De Jonquières, Mémoire sur les contacts multiples..., J. Reine Angew. Math. 66 (1866), 289-321. | Zbl

14 S.L. Kleiman, The transversality of a general translate, Compositio Math. 28 (1974), 287-297. | Numdam | MR | Zbl

15 S.L. Kleiman, Multiple-point formulas I: Iteration, Acta Math. 147 (1981), 13-49. | MR | Zbl

16 S.L. Kleiman and R. Speiser, Enumerative geometry of cuspidal plane cubics. In: J. Carrell, A. V. Geramita and P. Russell (eds.), Proceedings of the 1984 Vancouver Conference in Algebraic Geometry, Canad. Math. Soc. Conf. Proc., vol. 6, Amer. Math. Soc., Providence, 1986, pp. 227-268. | MR | Zbl

17 S.L. Kleiman and R. Speiser, Enumerative geometry of nodal plane cubics, Lect. Notes in Math., vol. 1311, (Springer: Berlin, New York), 1988, pp. 156-196. | MR | Zbl

18 S.L. Kleiman and R. Speiser, Enumerative geometry of nonsingular plane cubics. In: B. Harbourne and R. Speiser (eds.), Algebraic Geometry: Sundance, 1988, Contemp. Math., vol. 116, Amer. Math. Soc., Providence, 1991, pp. 85-113. | MR | Zbl

19 S. Maillard, Récherche des characteristiques des systèmes élémentaires de courbes plans du troisième ordre, Thesis, Cusset, Paris, 1871. | JFM

20 R. Mallavibarrena and I. Sols, Bases for the homology groups of the Hilbert scheme of points in the plane, Compositio Math. 74 (1990), 169-201. | Numdam | MR | Zbl

21 A. Mattuck, Secant bundles on symmetric products, Amer. J. Math. 87 (1965), 779-797. | MR | Zbl

22 J.M. Miret and S. Xambó-Descamps, Geometry of complete cuspidal plane cubics, Lect. Notes in Math., vol. 1389, (Springer: Berlin, New York), 1989, pp. 195-234. | MR | Zbl

23 J. Roberts and R. Speiser, Enumerative geometry of triangles, I, Comm. Algebra 12(9-10) (1984), 1213-1255. | MR | Zbl

24 J. Roberts and R. Speiser, Enumerative geometry of triangles, II, Comm. Algebra 14(1) (1986), 155-191. | MR | Zbl

25 H.C.H. Schubert, Kalkül der abzählenden Geometrie, Teubner, Leipzig, 1879, reprinted by Springer-Verlag: Berlin, 1979. | JFM | MR

26 H.C.H. Schubert, Anzahlgeometrische Behandlung des Dreiecks, Math. Annalen 17 (1880), 153-212. | JFM | MR

27 J.G. Semple, Some investigations in the geometry of curve and surface elements, Proc. London Math. Soc. (3) 4 (1954), 24-49. | MR | Zbl

28 R. Stanley, Enumerative Combinatorics, vol. I, Wadsworth and Brooks/Cole, Monterey, CA, 1986. | MR | Zbl

29 I. Vainsencher, Counting divisors with prescribed singularities, Trans. Amer. Math. Soc. 267(2) (1981), 399-422. | MR | Zbl

30 S. Wolfram, Mathematica: A System for Doing Mathematics by Computer, 2nd. ed., Addison-Wesley, Redwood City, CA, 1991. | Zbl

31 H. Zeuthen, Détermination des characteristiques des systèmes élémentaires de cubiques, C. R. Acad. Sci. Paris 74 (1872), 521-526, 604-607, 726-729. | JFM