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Curviliner enumerative geometry

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References

  1. Beauville, A., Diviseurs spéciaux et intersection de cycles algébriques dans la Jacobienne d'une courbe algébrique. InEnumerative geometry and classical algebraic geometry. P. Le Barz and Y. Hervier, edd., pp. 133–142. Birkhäuser, Boston, 1982.

    Google Scholar 

  2. Fulton, W., A note on residual intersections and the double point formula.Acta Math., 140 (1978), 93–101.

    MATH  MathSciNet  Google Scholar 

  3. —,Intersection theory. Springer Verlag, Berlin, 1984.

    Google Scholar 

  4. Fulton, W. & Laksov, D., Residual intersections and the double point formula. InReal and complex singularities. P. Holm, ed., pp. 171–177. Sijthoff & Nordhoff 1977.

  5. Fulton, W. & MacPherson, R., Intersecting cycles on an algebraic variety. InReal and complex singularities. P. Holm, ed., pp. 179–197. Sijthoff & Nordhoff 1977.

  6. Gillet, H., Intersection theory on algebraic stacks. Preprint.

  7. Harer, J.,H 2 of the mapping-class group.Invent. Math., 72 (1983), 221–240.

    Article  MATH  MathSciNet  Google Scholar 

  8. Kleiman, S., The enumerative theory of singularities. InReal and complex singularities. P. Holm, ed., pp. 297–396. Sijthoff & Nordhoff 1977.

  9. —, Multiple-point formulas I: Iteration.Acta Math., 147 (1981), 13–49.

    MATH  MathSciNet  Google Scholar 

  10. —, Multiple-point formulas for maps. InEnumerative geometry and classical algebraic geometry. P. Le Barz and Y. Hervier, edd., pp. 237–252. Birkhäuser, Boston, 1982.

    Google Scholar 

  11. —, Plane forms and multiple-point formulas. InAlgebraic geometry, Proc. conf. Varenna. Lecture Notes in Mathematics 947. Springer Verlag, Berlin, 1984.

    Google Scholar 

  12. Kleiman, S. &Laksov, D., On the existence of special divisors.Amer. J. Math., 93 (1972), 431–436.

    MathSciNet  Google Scholar 

  13. Laksov, D., Residual intersections and Todd's formula for the double locus of a morphism.Acta Math., 140 (1978), 75–92.

    MATH  MathSciNet  Google Scholar 

  14. Le Barz, P., Validité de certaines formules de géométrie énumérative.C. R. Acad. Sci. Paris, 289 (1979), 755–758.

    MATH  Google Scholar 

  15. —, Formules pour les multisécantes des surfaces.C. R. Acad. Sci. Paris, 292 (1981), 797–800.

    MATH  Google Scholar 

  16. —, Un lemme sur les fibrés normaux.C. R. Acad. Sci. Paris, 296 (1983), 911–914.

    MATH  Google Scholar 

  17. MacDonald, I. G., Symmetric products of an algebraic curve.Topology, 1 (1962), 319–343.

    Article  MATH  MathSciNet  Google Scholar 

  18. Mattuck, A., Secant bundles on symmetric products.Amer. J. Math., 81 (1965), 779–797.

    MathSciNet  Google Scholar 

  19. Mumford, D., Towards an enumerative geometry of the moduli space of curves. Preprint.

  20. Ran, Z., On projective varieties of codimension 2.Invent. Math., 73 (1983), 333–336.

    Article  MATH  MathSciNet  Google Scholar 

  21. —, Systèmes linéaires complets de sections hypersurfaces sur les variétés projectives de codimension 2.C. R. Acad. Sci. Paris, 298 (1984), 211–212.

    MathSciNet  Google Scholar 

  22. Schwarzenberger, R. L. E., The secant bundle of a projective variety.Proc. London Math. Soc., 14 (1964), 369–384.

    MATH  MathSciNet  Google Scholar 

  23. Severi, F., Riflessioni intorno ai problemi numerativi ....Rend. R. Ist. Lomb. Sci. Lett., 54 (1921), 243–254.

    MATH  Google Scholar 

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Ran, Z. Curviliner enumerative geometry. Acta Math. 155, 81–101 (1985). https://doi.org/10.1007/BF02392538

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  • DOI: https://doi.org/10.1007/BF02392538

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