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About the conormal scheme

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 1092)

Keywords

  • Irreducible Component
  • Total Space
  • Cotangent Bundle
  • Dense Open Subset
  • Closed Subscheme

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Altman, A. and Kleiman, S.: "Foundations of the Theory of Fano Schemes", Compositio Math., 34(1) (1977), 3–47.

    MathSciNet  MATH  Google Scholar 

  2. Fulton, W., Kleiman, S. and MacPherson, R.: "About the enumeration of contacts", Algebraic Geometry — Open Problems (Proceedings, Ravello 1982), Ciliberto, C., Ghione, F. and Orecchia, Lecture Notes in Math., 997. Springer-Verlag (1983), 156–196.

    Google Scholar 

  3. Grayson, D.: "Coincidence formulas in enumerative geometry", Communications in Algebra 7(16) (1979), 1685–1711.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Grothendieck, A. and Dieudonné, J.: Eléments de Geometrie Algébrique, Publ. Math. IHES No. 24, No. 28. Bures-sur-Yvette (S. et O.), (1965, 1966).

    Google Scholar 

  5. Hefez, A. and Kleiman, S.: "Notes on duality for projective varieties", in preparation.

    Google Scholar 

  6. Hilbert, D.: "Mathematical Problems", translated for the Bull. Amer. Math. Soc., with the author’s permission, by M. W. Newson, Bull. Amer. Math. Soc.; v. 8 (1902), 437–479.=Proceedings of Symposia in Pure Math.; v. 28. Browder, F., ed., Amer. Math. Soc. (1976), QA1. S897, pp. 1–34.

    Google Scholar 

  7. Hironaka, H.: "Stratifications and flatness", Real and complex singularities, Oslo 1976, Holm, P., ed., Sijihoff & Noordhoff (1977), 199–265.

    Google Scholar 

  8. Kleiman, S.: "The transversality of a generic translate", Compositio Math. 28 (1974), 287–297.

    MathSciNet  MATH  Google Scholar 

  9. Kleiman, S.: "Concerning the dual variety", 18th Scandinavian Congress of Mathematicians; proceedings, 1980, Balslev, E., ed., Progress in Math., 11. Birkhäuser Boston (1981), 386–396.

    Google Scholar 

  10. Merle, M.: "Variétés polaires, stratifications de Whitney et classes de Chern des espaces analytiques complexes [d’après Lê-Teissier], Sém. Bourbaki, Nov. 1982, exp. 600.

    Google Scholar 

  11. Oda, T.: "Introduction to Algebraic Analysis on Complex Manifolds", Algebraic Varieties and Analytic Varieties, Proc. Symposium in Tokyo, 13–24 July 1981, Iitaka, S., ed., North Holland (1982), pp. 29–48.

    Google Scholar 

  12. Pham, F.: Singularités de Systèmes Différentiels de Gauss-Manin, Progress in Math., 2, Birkhäuser Boston (1979).

    Google Scholar 

  13. Sabbah, C.: Quelques Remarques sur la Géometrie des Espaces Conormaux, Prepublication Ecole Polytechnique, Palaiseau 91128, France (Fall 1983).

    Google Scholar 

  14. Schubert, H.: Kalkül der Abzählenden Geometrie, Teubner, Leipzig (1879), reprinted with an introduction by S. Kleiman and a list of publications prepared by W. Burau, Springer-Verlag (1979).

    Google Scholar 

  15. Segre, C.: "Preliminari de una teoria delle varietà luoghi di spazi", Rendiconti Circolo Mat. Palermo XXX (1910), 87–121=Opere vol. II, Cremonese, Roma (1958), 71–114.

    CrossRef  MATH  Google Scholar 

  16. Wallace, A.: "Tangency and duality over arbitrary fields", Proc. Lond. Math. Soc. (3) 6 (1956), 321–342.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1984 Springer-Verlag

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Kleiman, S.L. (1984). About the conormal scheme. In: Greco, S., Strano, R. (eds) Complete Intersections. Lecture Notes in Mathematics, vol 1092. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099362

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  • DOI: https://doi.org/10.1007/BFb0099362

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13884-6

  • Online ISBN: 978-3-540-39089-3

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