@article{CM_1994__93_2_171_0, author = {Colley, Susan Jane and Kennedy, Gary}, title = {The enumeration of simultaneous higher-order contacts between plane curves}, journal = {Compositio Mathematica}, volume = {94}, year = {1994}, pages = {171-209}, mrnumber = {1287696}, zbl = {0820.14038}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1994__93_2_171_0} }
Colley, Susan Jane; Kennedy, Gary. The enumeration of simultaneous higher-order contacts between plane curves. Compositio Mathematica, Tome 94 (1994) pp. 171-209. http://gdmltest.u-ga.fr/item/CM_1994__93_2_171_0/
1 The enumerative geometry of plane cubics, I. Smooth cubics, Trans. Amer. Math. Soc. 317(2) (1990), 501-539. | MR 972700 | Zbl 0703.14035
,2 The enumerative geometry of plane cubics, II. Nodal and cuspidal cubics, Math. Annalen 289 (1991), 543-572. | MR 1103035 | Zbl 0712.14011
,3 Two characteristic numbers for smooth plane curves of any degree, Trans. Amer. Math. Soc. 329(1) (1992), 73-96. | MR 1041042 | Zbl 0794.14020
,4 Global moduli for contacts, preprint, 1992. | MR 1443035 | Zbl 0930.14035
, and ,5 A higher-order contact formula for plane curves, Comm. Algebra 19(2) (1991), 479-508. | MR 1100358 | Zbl 0732.14025
and ,6 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 1143546 | Zbl 0760.14022
and ,7 Evidence for a conjecture of Ellingsrud and Strømme on the Chow ring of Hilb d(P2), Illinois J. Math. 32 (1988), 171-210. | MR 945858 | Zbl 0706.14001
,8 L'anneau de Chow des triangles du plan, Compositio Math. 71 (1989), 85-119. | Numdam | MR 1008805 | Zbl 0705.14004
and ,9 On the homology of the Hilbert scheme of points in the plane, Invent. Math. 87(2) (1987), 343-352. | MR 870732 | Zbl 0625.14002
and ,10 On a cell decomposition of the Hilbert scheme of points in the plane, Invent. Math. 91(2) (1988), 365-370. | MR 922805 | Zbl 1064.14500
and ,11 About the enumeration of contacts, Lect. Notes in Math., vol. 997, (Springer: Berlin, New-York), 1983, pp. 156-196. | MR 714748 | Zbl 0529.14030
, and ,12 Mathematical problems, translated by M. W. Newson, Bull. Amer. Math. Soc. 50 (1902), 437-479. | JFM 33.0976.07
,13 Mémoire sur les contacts multiples..., J. Reine Angew. Math. 66 (1866), 289-321. | Zbl 066.1727cj
,14 The transversality of a general translate, Compositio Math. 28 (1974), 287-297. | Numdam | MR 360616 | Zbl 0288.14014
,15 Multiple-point formulas I: Iteration, Acta Math. 147 (1981), 13-49. | MR 631086 | Zbl 0479.14004
,16 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 846022 | Zbl 0601.14045
and ,17 Enumerative geometry of nodal plane cubics, Lect. Notes in Math., vol. 1311, (Springer: Berlin, New York), 1988, pp. 156-196. | MR 951646 | Zbl 0678.14013
and ,18 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 1108634 | Zbl 0753.14045
and ,19 Récherche des characteristiques des systèmes élémentaires de courbes plans du troisième ordre, Thesis, Cusset, Paris, 1871. | JFM 04.0305.02
,20 Bases for the homology groups of the Hilbert scheme of points in the plane, Compositio Math. 74 (1990), 169-201. | Numdam | MR 1047739 | Zbl 0728.14001
and ,21 Secant bundles on symmetric products, Amer. J. Math. 87 (1965), 779-797. | MR 199196 | Zbl 0196.53503
,22 Geometry of complete cuspidal plane cubics, Lect. Notes in Math., vol. 1389, (Springer: Berlin, New York), 1989, pp. 195-234. | MR 1023399 | Zbl 0688.14050
and ,23 Enumerative geometry of triangles, I, Comm. Algebra 12(9-10) (1984), 1213-1255. | MR 738546 | Zbl 0648.14029
and ,24 Enumerative geometry of triangles, II, Comm. Algebra 14(1) (1986), 155-191. | MR 814142 | Zbl 0648.14030
and ,25 Kalkül der abzählenden Geometrie, Teubner, Leipzig, 1879, reprinted by Springer-Verlag: Berlin, 1979. | JFM 11.0460.01 | MR 555576
,26 Anzahlgeometrische Behandlung des Dreiecks, Math. Annalen 17 (1880), 153-212. | JFM 12.0525.01 | MR 1510063
,27 Some investigations in the geometry of curve and surface elements, Proc. London Math. Soc. (3) 4 (1954), 24-49. | MR 61406 | Zbl 0055.14505
,28 Enumerative Combinatorics, vol. I, Wadsworth and Brooks/Cole, Monterey, CA, 1986. | MR 847717 | Zbl 0608.05001
,29 Counting divisors with prescribed singularities, Trans. Amer. Math. Soc. 267(2) (1981), 399-422. | MR 626480 | Zbl 0475.14047
,30 Mathematica: A System for Doing Mathematics by Computer, 2nd. ed., Addison-Wesley, Redwood City, CA, 1991. | Zbl 0925.65002
,31 Détermination des characteristiques des systèmes élémentaires de cubiques, C. R. Acad. Sci. Paris 74 (1872), 521-526, 604-607, 726-729. | JFM 04.0305.01
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